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Finding the Fourth Proportional to 498,082.60, 746,670.30 and 182,463.40

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Solution

The fourth proportional to 498,082.60, 746,670.30 and 182,463.40 is: 273,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,082.60 : 746,670.30 = 182,463.40 : x
  2. Step 2: Convert to fraction form
    498,082.60/746,670.30 = 182,463.40/x
  3. Step 3: Cross multiply
    498,082.60x = 746,670.30 × 182,463.40
  4. Step 4: Simplify right side
    498,082.60x = 136,240,001,617.02
  5. Step 5: Solve for x
    x = 136,240,001,617.02/498,082.60
  6. Step 6: Final answer
    x = 273,528.93

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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.