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Finding the Fourth Proportional to 416,387.62, 624,488.00 and 191,532.10

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Solution

The fourth proportional to 416,387.62, 624,488.00 and 191,532.10 is: 287,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,387.62 : 624,488.00 = 191,532.10 : x
  2. Step 2: Convert to fraction form
    416,387.62/624,488.00 = 191,532.10/x
  3. Step 3: Cross multiply
    416,387.62x = 624,488.00 × 191,532.10
  4. Step 4: Simplify right side
    416,387.62x = 119,609,497,107.14
  5. Step 5: Solve for x
    x = 119,609,497,107.14/416,387.62
  6. Step 6: Final answer
    x = 287,255.17

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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.