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Finding the Fourth Proportional to 546,822.10, 820,233.15 and 511,570.90

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Solution

The fourth proportional to 546,822.10, 820,233.15 and 511,570.90 is: 767,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,822.10 : 820,233.15 = 511,570.90 : x
  2. Step 2: Convert to fraction form
    546,822.10/820,233.15 = 511,570.90/x
  3. Step 3: Cross multiply
    546,822.10x = 820,233.15 × 511,570.90
  4. Step 4: Simplify right side
    546,822.10x = 419,607,410,755.34
  5. Step 5: Solve for x
    x = 419,607,410,755.34/546,822.10
  6. Step 6: Final answer
    x = 767,356.35

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Similar ratio
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1.5x scale

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.