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Finding the Fourth Proportional to 415,879.47, 573,913.71 and 224,892.90

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Solution

The fourth proportional to 415,879.47, 573,913.71 and 224,892.90 is: 310,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,879.47 : 573,913.71 = 224,892.90 : x
  2. Step 2: Convert to fraction form
    415,879.47/573,913.71 = 224,892.90/x
  3. Step 3: Cross multiply
    415,879.47x = 573,913.71 × 224,892.90
  4. Step 4: Simplify right side
    415,879.47x = 129,069,118,591.66
  5. Step 5: Solve for x
    x = 129,069,118,591.66/415,879.47
  6. Step 6: Final answer
    x = 310,352.22

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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.