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Finding the Fourth Proportional to 519,040.80, 778,779.90 and 282,553.20

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Solution

The fourth proportional to 519,040.80, 778,779.90 and 282,553.20 is: 423,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,040.80 : 778,779.90 = 282,553.20 : x
  2. Step 2: Convert to fraction form
    519,040.80/778,779.90 = 282,553.20/x
  3. Step 3: Cross multiply
    519,040.80x = 778,779.90 × 282,553.20
  4. Step 4: Simplify right side
    519,040.80x = 220,046,752,840.68
  5. Step 5: Solve for x
    x = 220,046,752,840.68/519,040.80
  6. Step 6: Final answer
    x = 423,948.85

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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.