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Finding the Fourth Proportional to 462,576.68, 638,356.88 and 258,634.88

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Solution

The fourth proportional to 462,576.68, 638,356.88 and 258,634.88 is: 356,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,576.68 : 638,356.88 = 258,634.88 : x
  2. Step 2: Convert to fraction form
    462,576.68/638,356.88 = 258,634.88/x
  3. Step 3: Cross multiply
    462,576.68x = 638,356.88 × 258,634.88
  4. Step 4: Simplify right side
    462,576.68x = 165,101,355,055.97
  5. Step 5: Solve for x
    x = 165,101,355,055.97/462,576.68
  6. Step 6: Final answer
    x = 356,916.73

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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.