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Finding the Fourth Proportional to 462,916.01, 638,885.46 and 259,045.49

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Solution

The fourth proportional to 462,916.01, 638,885.46 and 259,045.49 is: 357,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,916.01 : 638,885.46 = 259,045.49 : x
  2. Step 2: Convert to fraction form
    462,916.01/638,885.46 = 259,045.49/x
  3. Step 3: Cross multiply
    462,916.01x = 638,885.46 × 259,045.49
  4. Step 4: Simplify right side
    462,916.01x = 165,500,392,549.92
  5. Step 5: Solve for x
    x = 165,500,392,549.92/462,916.01
  6. Step 6: Final answer
    x = 357,517.11

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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.