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Finding the Fourth Proportional to 382,111.80, 571,806.90 and 332,734.20

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Solution

The fourth proportional to 382,111.80, 571,806.90 and 332,734.20 is: 497,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.80 : 571,806.90 = 332,734.20 : x
  2. Step 2: Convert to fraction form
    382,111.80/571,806.90 = 332,734.20/x
  3. Step 3: Cross multiply
    382,111.80x = 571,806.90 × 332,734.20
  4. Step 4: Simplify right side
    382,111.80x = 190,259,711,425.98
  5. Step 5: Solve for x
    x = 190,259,711,425.98/382,111.80
  6. Step 6: Final answer
    x = 497,916.35

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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.