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Finding the Fourth Proportional to 382,572.96, 527,934.48 and 212,806.56

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Solution

The fourth proportional to 382,572.96, 527,934.48 and 212,806.56 is: 293,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,572.96 : 527,934.48 = 212,806.56 : x
  2. Step 2: Convert to fraction form
    382,572.96/527,934.48 = 212,806.56/x
  3. Step 3: Cross multiply
    382,572.96x = 527,934.48 × 212,806.56
  4. Step 4: Simplify right side
    382,572.96x = 112,347,920,594.19
  5. Step 5: Solve for x
    x = 112,347,920,594.19/382,572.96
  6. Step 6: Final answer
    x = 293,664.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.