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Finding the Fourth Proportional to 415,231.31, 573,019.18 and 224,244.68

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Solution

The fourth proportional to 415,231.31, 573,019.18 and 224,244.68 is: 309,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,231.31 : 573,019.18 = 224,244.68 : x
  2. Step 2: Convert to fraction form
    415,231.31/573,019.18 = 224,244.68/x
  3. Step 3: Cross multiply
    415,231.31x = 573,019.18 × 224,244.68
  4. Step 4: Simplify right side
    415,231.31x = 128,496,499,227.26
  5. Step 5: Solve for x
    x = 128,496,499,227.26/415,231.31
  6. Step 6: Final answer
    x = 309,457.63

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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.