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Finding the Fourth Proportional to 467,097.92, 642,214.24 and 415,613.60

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Solution

The fourth proportional to 467,097.92, 642,214.24 and 415,613.60 is: 571,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,097.92 : 642,214.24 = 415,613.60 : x
  2. Step 2: Convert to fraction form
    467,097.92/642,214.24 = 415,613.60/x
  3. Step 3: Cross multiply
    467,097.92x = 642,214.24 × 415,613.60
  4. Step 4: Simplify right side
    467,097.92x = 266,912,972,257.66
  5. Step 5: Solve for x
    x = 266,912,972,257.66/467,097.92
  6. Step 6: Final answer
    x = 571,428.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.