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Finding the Fourth Proportional to 418,729.68, 577,851.84 and 227,747.52

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Solution

The fourth proportional to 418,729.68, 577,851.84 and 227,747.52 is: 314,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,729.68 : 577,851.84 = 227,747.52 : x
  2. Step 2: Convert to fraction form
    418,729.68/577,851.84 = 227,747.52/x
  3. Step 3: Cross multiply
    418,729.68x = 577,851.84 × 227,747.52
  4. Step 4: Simplify right side
    418,729.68x = 131,604,323,487.44
  5. Step 5: Solve for x
    x = 131,604,323,487.44/418,729.68
  6. Step 6: Final answer
    x = 314,294.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.