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Finding the Fourth Proportional to 415,938.91, 573,995.70 and 224,952.30

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Solution

The fourth proportional to 415,938.91, 573,995.70 and 224,952.30 is: 310,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938.91 : 573,995.70 = 224,952.30 : x
  2. Step 2: Convert to fraction form
    415,938.91/573,995.70 = 224,952.30/x
  3. Step 3: Cross multiply
    415,938.91x = 573,995.70 × 224,952.30
  4. Step 4: Simplify right side
    415,938.91x = 129,121,651,780.35
  5. Step 5: Solve for x
    x = 129,121,651,780.35/415,938.91
  6. Step 6: Final answer
    x = 310,434.17

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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.