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Finding the Fourth Proportional to 546,002.80, 819,004.20 and 488,922.10

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Solution

The fourth proportional to 546,002.80, 819,004.20 and 488,922.10 is: 733,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,002.80 : 819,004.20 = 488,922.10 : x
  2. Step 2: Convert to fraction form
    546,002.80/819,004.20 = 488,922.10/x
  3. Step 3: Cross multiply
    546,002.80x = 819,004.20 × 488,922.10
  4. Step 4: Simplify right side
    546,002.80x = 400,429,253,372.82
  5. Step 5: Solve for x
    x = 400,429,253,372.82/546,002.80
  6. Step 6: Final answer
    x = 733,383.15

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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.