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Finding the Fourth Proportional to 546,934.40, 820,862.40 and 266,691.20

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Solution

The fourth proportional to 546,934.40, 820,862.40 and 266,691.20 is: 400,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,934.40 : 820,862.40 = 266,691.20 : x
  2. Step 2: Convert to fraction form
    546,934.40/820,862.40 = 266,691.20/x
  3. Step 3: Cross multiply
    546,934.40x = 820,862.40 × 266,691.20
  4. Step 4: Simplify right side
    546,934.40x = 218,916,778,490.88
  5. Step 5: Solve for x
    x = 218,916,778,490.88/546,934.40
  6. Step 6: Final answer
    x = 400,261.49

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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.