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Finding the Fourth Proportional to 650,206.16, 897,358.92 and 363,798.80

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Solution

The fourth proportional to 650,206.16, 897,358.92 and 363,798.80 is: 502,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,206.16 : 897,358.92 = 363,798.80 : x
  2. Step 2: Convert to fraction form
    650,206.16/897,358.92 = 363,798.80/x
  3. Step 3: Cross multiply
    650,206.16x = 897,358.92 × 363,798.80
  4. Step 4: Simplify right side
    650,206.16x = 326,458,098,265.30
  5. Step 5: Solve for x
    x = 326,458,098,265.30/650,206.16
  6. Step 6: Final answer
    x = 502,083.98

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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.