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Finding the Fourth Proportional to 380,523.41, 525,126.17 and 229,591.25

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Solution

The fourth proportional to 380,523.41, 525,126.17 and 229,591.25 is: 316,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,523.41 : 525,126.17 = 229,591.25 : x
  2. Step 2: Convert to fraction form
    380,523.41/525,126.17 = 229,591.25/x
  3. Step 3: Cross multiply
    380,523.41x = 525,126.17 × 229,591.25
  4. Step 4: Simplify right side
    380,523.41x = 120,564,373,778.01
  5. Step 5: Solve for x
    x = 120,564,373,778.01/380,523.41
  6. Step 6: Final answer
    x = 316,838.26

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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.