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Finding the Fourth Proportional to 498,634.60, 747,932.70 and 166,210.60

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Solution

The fourth proportional to 498,634.60, 747,932.70 and 166,210.60 is: 249,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,634.60 : 747,932.70 = 166,210.60 : x
  2. Step 2: Convert to fraction form
    498,634.60/747,932.70 = 166,210.60/x
  3. Step 3: Cross multiply
    498,634.60x = 747,932.70 × 166,210.60
  4. Step 4: Simplify right side
    498,634.60x = 124,314,342,826.62
  5. Step 5: Solve for x
    x = 124,314,342,826.62/498,634.60
  6. Step 6: Final answer
    x = 249,309.50

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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.