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Finding the Fourth Proportional to 589,843, 884,767.74 and 146,611

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Solution

The fourth proportional to 589,843, 884,767.74 and 146,611 is: 219,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,843 : 884,767.74 = 146,611 : x
  2. Step 2: Convert to fraction form
    589,843/884,767.74 = 146,611/x
  3. Step 3: Cross multiply
    589,843x = 884,767.74 × 146,611
  4. Step 4: Simplify right side
    589,843x = 129,716,683,129.14
  5. Step 5: Solve for x
    x = 129,716,683,129.14/589,843
  6. Step 6: Final answer
    x = 219,917.31

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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.