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Finding the Fourth Proportional to 546,916.80, 820,375.20 and 459,825.60

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Solution

The fourth proportional to 546,916.80, 820,375.20 and 459,825.60 is: 689,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,916.80 : 820,375.20 = 459,825.60 : x
  2. Step 2: Convert to fraction form
    546,916.80/820,375.20 = 459,825.60/x
  3. Step 3: Cross multiply
    546,916.80x = 820,375.20 × 459,825.60
  4. Step 4: Simplify right side
    546,916.80x = 377,229,518,565.12
  5. Step 5: Solve for x
    x = 377,229,518,565.12/546,916.80
  6. Step 6: Final answer
    x = 689,738.40

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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.