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Finding the Fourth Proportional to 432,852.80, 649,279.20 and 117,348.80

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Solution

The fourth proportional to 432,852.80, 649,279.20 and 117,348.80 is: 176,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,852.80 : 649,279.20 = 117,348.80 : x
  2. Step 2: Convert to fraction form
    432,852.80/649,279.20 = 117,348.80/x
  3. Step 3: Cross multiply
    432,852.80x = 649,279.20 × 117,348.80
  4. Step 4: Simplify right side
    432,852.80x = 76,192,134,984.96
  5. Step 5: Solve for x
    x = 76,192,134,984.96/432,852.80
  6. Step 6: Final answer
    x = 176,023.20

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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.