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Finding the Fourth Proportional to 314,882.55, 434,521.48 and 178,897.61

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Solution

The fourth proportional to 314,882.55, 434,521.48 and 178,897.61 is: 246,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,882.55 : 434,521.48 = 178,897.61 : x
  2. Step 2: Convert to fraction form
    314,882.55/434,521.48 = 178,897.61/x
  3. Step 3: Cross multiply
    314,882.55x = 434,521.48 × 178,897.61
  4. Step 4: Simplify right side
    314,882.55x = 77,734,854,265.66
  5. Step 5: Solve for x
    x = 77,734,854,265.66/314,882.55
  6. Step 6: Final answer
    x = 246,869.36

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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.