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Finding the Fourth Proportional to 432,225.88, 647,895.42 and 165,914.68

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Solution

The fourth proportional to 432,225.88, 647,895.42 and 165,914.68 is: 248,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,225.88 : 647,895.42 = 165,914.68 : x
  2. Step 2: Convert to fraction form
    432,225.88/647,895.42 = 165,914.68/x
  3. Step 3: Cross multiply
    432,225.88x = 647,895.42 × 165,914.68
  4. Step 4: Simplify right side
    432,225.88x = 107,495,361,282.77
  5. Step 5: Solve for x
    x = 107,495,361,282.77/432,225.88
  6. Step 6: Final answer
    x = 248,701.82

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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.