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Finding the Fourth Proportional to 415,314.34, 573,133.73 and 224,327.68

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Solution

The fourth proportional to 415,314.34, 573,133.73 and 224,327.68 is: 309,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,314.34 : 573,133.73 = 224,327.68 : x
  2. Step 2: Convert to fraction form
    415,314.34/573,133.73 = 224,327.68/x
  3. Step 3: Cross multiply
    415,314.34x = 573,133.73 × 224,327.68
  4. Step 4: Simplify right side
    415,314.34x = 128,569,757,426.17
  5. Step 5: Solve for x
    x = 128,569,757,426.17/415,314.34
  6. Step 6: Final answer
    x = 309,572.16

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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.