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Finding the Fourth Proportional to 497,693.04, 746,319.96 and 142,626.48

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Solution

The fourth proportional to 497,693.04, 746,319.96 and 142,626.48 is: 213,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,693.04 : 746,319.96 = 142,626.48 : x
  2. Step 2: Convert to fraction form
    497,693.04/746,319.96 = 142,626.48/x
  3. Step 3: Cross multiply
    497,693.04x = 746,319.96 × 142,626.48
  4. Step 4: Simplify right side
    497,693.04x = 106,444,988,848.54
  5. Step 5: Solve for x
    x = 106,444,988,848.54/497,693.04
  6. Step 6: Final answer
    x = 213,876.79

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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.