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Finding the Fourth Proportional to 463,142.61, 638,933.94 and 272,069.82

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Solution

The fourth proportional to 463,142.61, 638,933.94 and 272,069.82 is: 375,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,142.61 : 638,933.94 = 272,069.82 : x
  2. Step 2: Convert to fraction form
    463,142.61/638,933.94 = 272,069.82/x
  3. Step 3: Cross multiply
    463,142.61x = 638,933.94 × 272,069.82
  4. Step 4: Simplify right side
    463,142.61x = 173,834,642,047.69
  5. Step 5: Solve for x
    x = 173,834,642,047.69/463,142.61
  6. Step 6: Final answer
    x = 375,337.18

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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.