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Finding the Fourth Proportional to 498,009.60, 746,560.80 and 182,390.40

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Solution

The fourth proportional to 498,009.60, 746,560.80 and 182,390.40 is: 273,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,009.60 : 746,560.80 = 182,390.40 : x
  2. Step 2: Convert to fraction form
    498,009.60/746,560.80 = 182,390.40/x
  3. Step 3: Cross multiply
    498,009.60x = 746,560.80 × 182,390.40
  4. Step 4: Simplify right side
    498,009.60x = 136,165,522,936.32
  5. Step 5: Solve for x
    x = 136,165,522,936.32/498,009.60
  6. Step 6: Final answer
    x = 273,419.47

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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.