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Finding the Fourth Proportional to 462,235.92, 638,082.03 and 281,005.74

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Solution

The fourth proportional to 462,235.92, 638,082.03 and 281,005.74 is: 387,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,235.92 : 638,082.03 = 281,005.74 : x
  2. Step 2: Convert to fraction form
    462,235.92/638,082.03 = 281,005.74/x
  3. Step 3: Cross multiply
    462,235.92x = 638,082.03 × 281,005.74
  4. Step 4: Simplify right side
    462,235.92x = 179,304,713,020.85
  5. Step 5: Solve for x
    x = 179,304,713,020.85/462,235.92
  6. Step 6: Final answer
    x = 387,907.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.