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Finding the Fourth Proportional to 415,914.92, 573,964.31 and 224,928.31

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Solution

The fourth proportional to 415,914.92, 573,964.31 and 224,928.31 is: 310,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,914.92 : 573,964.31 = 224,928.31 : x
  2. Step 2: Convert to fraction form
    415,914.92/573,964.31 = 224,928.31/x
  3. Step 3: Cross multiply
    415,914.92x = 573,964.31 × 224,928.31
  4. Step 4: Simplify right side
    415,914.92x = 129,100,822,248.62
  5. Step 5: Solve for x
    x = 129,100,822,248.62/415,914.92
  6. Step 6: Final answer
    x = 310,402.00

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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.