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Finding the Fourth Proportional to 361,326.66, 498,429.88 and 284,562.96

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Solution

The fourth proportional to 361,326.66, 498,429.88 and 284,562.96 is: 392,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,326.66 : 498,429.88 = 284,562.96 : x
  2. Step 2: Convert to fraction form
    361,326.66/498,429.88 = 284,562.96/x
  3. Step 3: Cross multiply
    361,326.66x = 498,429.88 × 284,562.96
  4. Step 4: Simplify right side
    361,326.66x = 141,834,682,005.25
  5. Step 5: Solve for x
    x = 141,834,682,005.25/361,326.66
  6. Step 6: Final answer
    x = 392,538.66

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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.