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Finding the Fourth Proportional to 547,897.40, 822,140.40 and 267,414.65

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Solution

The fourth proportional to 547,897.40, 822,140.40 and 267,414.65 is: 401,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,897.40 : 822,140.40 = 267,414.65 : x
  2. Step 2: Convert to fraction form
    547,897.40/822,140.40 = 267,414.65/x
  3. Step 3: Cross multiply
    547,897.40x = 822,140.40 × 267,414.65
  4. Step 4: Simplify right side
    547,897.40x = 219,852,387,316.86
  5. Step 5: Solve for x
    x = 219,852,387,316.86/547,897.40
  6. Step 6: Final answer
    x = 401,265.62

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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.