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Finding the Fourth Proportional to 432,238.68, 648,358.26 and 116,695.32

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Solution

The fourth proportional to 432,238.68, 648,358.26 and 116,695.32 is: 175,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,238.68 : 648,358.26 = 116,695.32 : x
  2. Step 2: Convert to fraction form
    432,238.68/648,358.26 = 116,695.32/x
  3. Step 3: Cross multiply
    432,238.68x = 648,358.26 × 116,695.32
  4. Step 4: Simplify right side
    432,238.68x = 75,660,374,625.34
  5. Step 5: Solve for x
    x = 75,660,374,625.34/432,238.68
  6. Step 6: Final answer
    x = 175,043.04

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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.