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Finding the Fourth Proportional to 415,913.92, 573,962.93 and 224,927.31

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Solution

The fourth proportional to 415,913.92, 573,962.93 and 224,927.31 is: 310,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,913.92 : 573,962.93 = 224,927.31 : x
  2. Step 2: Convert to fraction form
    415,913.92/573,962.93 = 224,927.31/x
  3. Step 3: Cross multiply
    415,913.92x = 573,962.93 × 224,927.31
  4. Step 4: Simplify right side
    415,913.92x = 129,099,936,294.58
  5. Step 5: Solve for x
    x = 129,099,936,294.58/415,913.92
  6. Step 6: Final answer
    x = 310,400.62

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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.