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Finding the Fourth Proportional to 432,098.06, 596,295.38 and 238,505.84

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Solution

The fourth proportional to 432,098.06, 596,295.38 and 238,505.84 is: 329,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,098.06 : 596,295.38 = 238,505.84 : x
  2. Step 2: Convert to fraction form
    432,098.06/596,295.38 = 238,505.84/x
  3. Step 3: Cross multiply
    432,098.06x = 596,295.38 × 238,505.84
  4. Step 4: Simplify right side
    432,098.06x = 142,219,929,451.52
  5. Step 5: Solve for x
    x = 142,219,929,451.52/432,098.06
  6. Step 6: Final answer
    x = 329,138.09

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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.