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Finding the Fourth Proportional to 602,951.54, 832,219.89 and 361,377.14

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Solution

The fourth proportional to 602,951.54, 832,219.89 and 361,377.14 is: 498,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,951.54 : 832,219.89 = 361,377.14 : x
  2. Step 2: Convert to fraction form
    602,951.54/832,219.89 = 361,377.14/x
  3. Step 3: Cross multiply
    602,951.54x = 832,219.89 × 361,377.14
  4. Step 4: Simplify right side
    602,951.54x = 300,745,243,699.32
  5. Step 5: Solve for x
    x = 300,745,243,699.32/602,951.54
  6. Step 6: Final answer
    x = 498,788.42

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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.