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Finding the Fourth Proportional to 498,264.48, 746,952.30 and 182,647.71

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Solution

The fourth proportional to 498,264.48, 746,952.30 and 182,647.71 is: 273,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,264.48 : 746,952.30 = 182,647.71 : x
  2. Step 2: Convert to fraction form
    498,264.48/746,952.30 = 182,647.71/x
  3. Step 3: Cross multiply
    498,264.48x = 746,952.30 × 182,647.71
  4. Step 4: Simplify right side
    498,264.48x = 136,429,127,074.23
  5. Step 5: Solve for x
    x = 136,429,127,074.23/498,264.48
  6. Step 6: Final answer
    x = 273,808.65

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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.