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Finding the Fourth Proportional to 462,806.46, 638,687.43 and 261,615.42

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Solution

The fourth proportional to 462,806.46, 638,687.43 and 261,615.42 is: 361,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,806.46 : 638,687.43 = 261,615.42 : x
  2. Step 2: Convert to fraction form
    462,806.46/638,687.43 = 261,615.42/x
  3. Step 3: Cross multiply
    462,806.46x = 638,687.43 × 261,615.42
  4. Step 4: Simplify right side
    462,806.46x = 167,090,480,248.17
  5. Step 5: Solve for x
    x = 167,090,480,248.17/462,806.46
  6. Step 6: Final answer
    x = 361,037.48

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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.