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Finding the Fourth Proportional to 432,881.16, 648,759.42 and 176,414.28

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Solution

The fourth proportional to 432,881.16, 648,759.42 and 176,414.28 is: 264,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,881.16 : 648,759.42 = 176,414.28 : x
  2. Step 2: Convert to fraction form
    432,881.16/648,759.42 = 176,414.28/x
  3. Step 3: Cross multiply
    432,881.16x = 648,759.42 × 176,414.28
  4. Step 4: Simplify right side
    432,881.16x = 114,450,425,972.52
  5. Step 5: Solve for x
    x = 114,450,425,972.52/432,881.16
  6. Step 6: Final answer
    x = 264,392.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.