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Finding the Fourth Proportional to 462,738.24, 638,647.20 and 292,988.16

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Solution

The fourth proportional to 462,738.24, 638,647.20 and 292,988.16 is: 404,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,738.24 : 638,647.20 = 292,988.16 : x
  2. Step 2: Convert to fraction form
    462,738.24/638,647.20 = 292,988.16/x
  3. Step 3: Cross multiply
    462,738.24x = 638,647.20 × 292,988.16
  4. Step 4: Simplify right side
    462,738.24x = 187,116,068,017.15
  5. Step 5: Solve for x
    x = 187,116,068,017.15/462,738.24
  6. Step 6: Final answer
    x = 404,366.99

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