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Finding the Fourth Proportional to 498,045.60, 746,614.80 and 182,426.40

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Solution

The fourth proportional to 498,045.60, 746,614.80 and 182,426.40 is: 273,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,045.60 : 746,614.80 = 182,426.40 : x
  2. Step 2: Convert to fraction form
    498,045.60/746,614.80 = 182,426.40/x
  3. Step 3: Cross multiply
    498,045.60x = 746,614.80 × 182,426.40
  4. Step 4: Simplify right side
    498,045.60x = 136,202,250,150.72
  5. Step 5: Solve for x
    x = 136,202,250,150.72/498,045.60
  6. Step 6: Final answer
    x = 273,473.45

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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.