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Finding the Fourth Proportional to 316,638, 436,955.13 and 171,442.53

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Solution

The fourth proportional to 316,638, 436,955.13 and 171,442.53 is: 236,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,638 : 436,955.13 = 171,442.53 : x
  2. Step 2: Convert to fraction form
    316,638/436,955.13 = 171,442.53/x
  3. Step 3: Cross multiply
    316,638x = 436,955.13 × 171,442.53
  4. Step 4: Simplify right side
    316,638x = 74,912,692,983.68
  5. Step 5: Solve for x
    x = 74,912,692,983.68/316,638
  6. Step 6: Final answer
    x = 236,587.82

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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.