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Finding the Fourth Proportional to 432,115.40, 596,319.28 and 238,523.16

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Solution

The fourth proportional to 432,115.40, 596,319.28 and 238,523.16 is: 329,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,115.40 : 596,319.28 = 238,523.16 : x
  2. Step 2: Convert to fraction form
    432,115.40/596,319.28 = 238,523.16/x
  3. Step 3: Cross multiply
    432,115.40x = 596,319.28 × 238,523.16
  4. Step 4: Simplify right side
    432,115.40x = 142,235,959,034.53
  5. Step 5: Solve for x
    x = 142,235,959,034.53/432,115.40
  6. Step 6: Final answer
    x = 329,161.98

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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.