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Finding the Fourth Proportional to 498,886.26, 748,335.86 and 166,462.26

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Solution

The fourth proportional to 498,886.26, 748,335.86 and 166,462.26 is: 249,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,886.26 : 748,335.86 = 166,462.26 : x
  2. Step 2: Convert to fraction form
    498,886.26/748,335.86 = 166,462.26/x
  3. Step 3: Cross multiply
    498,886.26x = 748,335.86 × 166,462.26
  4. Step 4: Simplify right side
    498,886.26x = 124,569,678,494.64
  5. Step 5: Solve for x
    x = 124,569,678,494.64/498,886.26
  6. Step 6: Final answer
    x = 249,695.55

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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.