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Finding the Fourth Proportional to 315,807.54, 435,825.14 and 172,576.78

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Solution

The fourth proportional to 315,807.54, 435,825.14 and 172,576.78 is: 238,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.54 : 435,825.14 = 172,576.78 : x
  2. Step 2: Convert to fraction form
    315,807.54/435,825.14 = 172,576.78/x
  3. Step 3: Cross multiply
    315,807.54x = 435,825.14 × 172,576.78
  4. Step 4: Simplify right side
    315,807.54x = 75,213,299,304.25
  5. Step 5: Solve for x
    x = 75,213,299,304.25/315,807.54
  6. Step 6: Final answer
    x = 238,161.82

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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.