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Finding the Fourth Proportional to 589,263, 883,894.50 and 146,031

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Solution

The fourth proportional to 589,263, 883,894.50 and 146,031 is: 219,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,263 : 883,894.50 = 146,031 : x
  2. Step 2: Convert to fraction form
    589,263/883,894.50 = 146,031/x
  3. Step 3: Cross multiply
    589,263x = 883,894.50 × 146,031
  4. Step 4: Simplify right side
    589,263x = 129,075,997,729.50
  5. Step 5: Solve for x
    x = 129,075,997,729.50/589,263
  6. Step 6: Final answer
    x = 219,046.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.