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Finding the Fourth Proportional to 519,073.80, 778,829.40 and 282,586.20

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Solution

The fourth proportional to 519,073.80, 778,829.40 and 282,586.20 is: 423,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,073.80 : 778,829.40 = 282,586.20 : x
  2. Step 2: Convert to fraction form
    519,073.80/778,829.40 = 282,586.20/x
  3. Step 3: Cross multiply
    519,073.80x = 778,829.40 × 282,586.20
  4. Step 4: Simplify right side
    519,073.80x = 220,086,440,594.28
  5. Step 5: Solve for x
    x = 220,086,440,594.28/519,073.80
  6. Step 6: Final answer
    x = 423,998.36

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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.