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Finding the Fourth Proportional to 498,269.04, 747,680.04 and 202,758

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Solution

The fourth proportional to 498,269.04, 747,680.04 and 202,758 is: 304,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,269.04 : 747,680.04 = 202,758 : x
  2. Step 2: Convert to fraction form
    498,269.04/747,680.04 = 202,758/x
  3. Step 3: Cross multiply
    498,269.04x = 747,680.04 × 202,758
  4. Step 4: Simplify right side
    498,269.04x = 151,598,109,550.32
  5. Step 5: Solve for x
    x = 151,598,109,550.32/498,269.04
  6. Step 6: Final answer
    x = 304,249.51

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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.