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Finding the Fourth Proportional to 498,765.47, 748,034.24 and 199,165.64

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Solution

The fourth proportional to 498,765.47, 748,034.24 and 199,165.64 is: 298,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,765.47 : 748,034.24 = 199,165.64 : x
  2. Step 2: Convert to fraction form
    498,765.47/748,034.24 = 199,165.64/x
  3. Step 3: Cross multiply
    498,765.47x = 748,034.24 × 199,165.64
  4. Step 4: Simplify right side
    498,765.47x = 148,982,713,415.51
  5. Step 5: Solve for x
    x = 148,982,713,415.51/498,765.47
  6. Step 6: Final answer
    x = 298,702.95

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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.