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Finding the Fourth Proportional to 461,728.70, 692,593.05 and 146,210.30

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Solution

The fourth proportional to 461,728.70, 692,593.05 and 146,210.30 is: 219,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,728.70 : 692,593.05 = 146,210.30 : x
  2. Step 2: Convert to fraction form
    461,728.70/692,593.05 = 146,210.30/x
  3. Step 3: Cross multiply
    461,728.70x = 692,593.05 × 146,210.30
  4. Step 4: Simplify right side
    461,728.70x = 101,264,237,618.42
  5. Step 5: Solve for x
    x = 101,264,237,618.42/461,728.70
  6. Step 6: Final answer
    x = 219,315.45

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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.