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Finding the Fourth Proportional to 498,820.48, 748,246.82 and 195,202.71

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Solution

The fourth proportional to 498,820.48, 748,246.82 and 195,202.71 is: 292,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,820.48 : 748,246.82 = 195,202.71 : x
  2. Step 2: Convert to fraction form
    498,820.48/748,246.82 = 195,202.71/x
  3. Step 3: Cross multiply
    498,820.48x = 748,246.82 × 195,202.71
  4. Step 4: Simplify right side
    498,820.48x = 146,059,806,036.87
  5. Step 5: Solve for x
    x = 146,059,806,036.87/498,820.48
  6. Step 6: Final answer
    x = 292,810.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.