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Finding the Fourth Proportional to 415,792.35, 573,794.28 and 224,805.75

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Solution

The fourth proportional to 415,792.35, 573,794.28 and 224,805.75 is: 310,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,792.35 : 573,794.28 = 224,805.75 : x
  2. Step 2: Convert to fraction form
    415,792.35/573,794.28 = 224,805.75/x
  3. Step 3: Cross multiply
    415,792.35x = 573,794.28 × 224,805.75
  4. Step 4: Simplify right side
    415,792.35x = 128,992,253,461.11
  5. Step 5: Solve for x
    x = 128,992,253,461.11/415,792.35
  6. Step 6: Final answer
    x = 310,232.39

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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.