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Finding the Fourth Proportional to 424,564.27, 636,825.65 and 158,304.00

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Solution

The fourth proportional to 424,564.27, 636,825.65 and 158,304.00 is: 237,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,564.27 : 636,825.65 = 158,304.00 : x
  2. Step 2: Convert to fraction form
    424,564.27/636,825.65 = 158,304.00/x
  3. Step 3: Cross multiply
    424,564.27x = 636,825.65 × 158,304.00
  4. Step 4: Simplify right side
    424,564.27x = 100,812,049,294.18
  5. Step 5: Solve for x
    x = 100,812,049,294.18/424,564.27
  6. Step 6: Final answer
    x = 237,448.27

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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.