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Finding the Fourth Proportional to 546,521.69, 819,807.14 and 167,414.76

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Solution

The fourth proportional to 546,521.69, 819,807.14 and 167,414.76 is: 251,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,521.69 : 819,807.14 = 167,414.76 : x
  2. Step 2: Convert to fraction form
    546,521.69/819,807.14 = 167,414.76/x
  3. Step 3: Cross multiply
    546,521.69x = 819,807.14 × 167,414.76
  4. Step 4: Simplify right side
    546,521.69x = 137,247,816,007.92
  5. Step 5: Solve for x
    x = 137,247,816,007.92/546,521.69
  6. Step 6: Final answer
    x = 251,129.68

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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.