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Finding the Fourth Proportional to 432,092.60, 647,831.70 and 165,750.20

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Solution

The fourth proportional to 432,092.60, 647,831.70 and 165,750.20 is: 248,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,092.60 : 647,831.70 = 165,750.20 : x
  2. Step 2: Convert to fraction form
    432,092.60/647,831.70 = 165,750.20/x
  3. Step 3: Cross multiply
    432,092.60x = 647,831.70 × 165,750.20
  4. Step 4: Simplify right side
    432,092.60x = 107,378,233,841.34
  5. Step 5: Solve for x
    x = 107,378,233,841.34/432,092.60
  6. Step 6: Final answer
    x = 248,507.46

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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.