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Finding the Fourth Proportional to 415,496.74, 573,385.65 and 224,510.13

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Solution

The fourth proportional to 415,496.74, 573,385.65 and 224,510.13 is: 309,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,496.74 : 573,385.65 = 224,510.13 : x
  2. Step 2: Convert to fraction form
    415,496.74/573,385.65 = 224,510.13/x
  3. Step 3: Cross multiply
    415,496.74x = 573,385.65 × 224,510.13
  4. Step 4: Simplify right side
    415,496.74x = 128,730,885,388.17
  5. Step 5: Solve for x
    x = 128,730,885,388.17/415,496.74
  6. Step 6: Final answer
    x = 309,824.06

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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.