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Finding the Fourth Proportional to 548,034.80, 821,177.40 and 458,805.20

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Solution

The fourth proportional to 548,034.80, 821,177.40 and 458,805.20 is: 687,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,034.80 : 821,177.40 = 458,805.20 : x
  2. Step 2: Convert to fraction form
    548,034.80/821,177.40 = 458,805.20/x
  3. Step 3: Cross multiply
    548,034.80x = 821,177.40 × 458,805.20
  4. Step 4: Simplify right side
    548,034.80x = 376,760,461,242.48
  5. Step 5: Solve for x
    x = 376,760,461,242.48/548,034.80
  6. Step 6: Final answer
    x = 687,475.43

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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.