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Finding the Fourth Proportional to 546,203.94, 819,349.66 and 418,304.58

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Solution

The fourth proportional to 546,203.94, 819,349.66 and 418,304.58 is: 627,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,203.94 : 819,349.66 = 418,304.58 : x
  2. Step 2: Convert to fraction form
    546,203.94/819,349.66 = 418,304.58/x
  3. Step 3: Cross multiply
    546,203.94x = 819,349.66 × 418,304.58
  4. Step 4: Simplify right side
    546,203.94x = 342,737,715,399.44
  5. Step 5: Solve for x
    x = 342,737,715,399.44/546,203.94
  6. Step 6: Final answer
    x = 627,490.38

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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.