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Finding the Fourth Proportional to 546,750.95, 820,126.43 and 489,178.18

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Solution

The fourth proportional to 546,750.95, 820,126.43 and 489,178.18 is: 733,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,750.95 : 820,126.43 = 489,178.18 : x
  2. Step 2: Convert to fraction form
    546,750.95/820,126.43 = 489,178.18/x
  3. Step 3: Cross multiply
    546,750.95x = 820,126.43 × 489,178.18
  4. Step 4: Simplify right side
    546,750.95x = 401,187,947,850.77
  5. Step 5: Solve for x
    x = 401,187,947,850.77/546,750.95
  6. Step 6: Final answer
    x = 733,767.26

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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.