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Finding the Fourth Proportional to 409,469.62, 614,641.83 and 232,322.62

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Solution

The fourth proportional to 409,469.62, 614,641.83 and 232,322.62 is: 348,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,469.62 : 614,641.83 = 232,322.62 : x
  2. Step 2: Convert to fraction form
    409,469.62/614,641.83 = 232,322.62/x
  3. Step 3: Cross multiply
    409,469.62x = 614,641.83 × 232,322.62
  4. Step 4: Simplify right side
    409,469.62x = 142,795,199,145.58
  5. Step 5: Solve for x
    x = 142,795,199,145.58/409,469.62
  6. Step 6: Final answer
    x = 348,732.10

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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.