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Finding the Fourth Proportional to 314,715.68, 434,302.17 and 171,476.90

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Solution

The fourth proportional to 314,715.68, 434,302.17 and 171,476.90 is: 236,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,715.68 : 434,302.17 = 171,476.90 : x
  2. Step 2: Convert to fraction form
    314,715.68/434,302.17 = 171,476.90/x
  3. Step 3: Cross multiply
    314,715.68x = 434,302.17 × 171,476.90
  4. Step 4: Simplify right side
    314,715.68x = 74,472,789,774.87
  5. Step 5: Solve for x
    x = 74,472,789,774.87/314,715.68
  6. Step 6: Final answer
    x = 236,635.14

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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.