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Finding the Fourth Proportional to 546,872.40, 820,308.60 and 503,569.80

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Solution

The fourth proportional to 546,872.40, 820,308.60 and 503,569.80 is: 755,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,872.40 : 820,308.60 = 503,569.80 : x
  2. Step 2: Convert to fraction form
    546,872.40/820,308.60 = 503,569.80/x
  3. Step 3: Cross multiply
    546,872.40x = 820,308.60 × 503,569.80
  4. Step 4: Simplify right side
    546,872.40x = 413,082,637,640.28
  5. Step 5: Solve for x
    x = 413,082,637,640.28/546,872.40
  6. Step 6: Final answer
    x = 755,354.70

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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.