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Finding the Fourth Proportional to 432,178.16, 596,436 and 241,194.68

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Solution

The fourth proportional to 432,178.16, 596,436 and 241,194.68 is: 332,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,178.16 : 596,436 = 241,194.68 : x
  2. Step 2: Convert to fraction form
    432,178.16/596,436 = 241,194.68/x
  3. Step 3: Cross multiply
    432,178.16x = 596,436 × 241,194.68
  4. Step 4: Simplify right side
    432,178.16x = 143,857,190,160.48
  5. Step 5: Solve for x
    x = 143,857,190,160.48/432,178.16
  6. Step 6: Final answer
    x = 332,865.48

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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.