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Finding the Fourth Proportional to 432,493.22, 648,972.48 and 179,948

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Solution

The fourth proportional to 432,493.22, 648,972.48 and 179,948 is: 270,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493.22 : 648,972.48 = 179,948 : x
  2. Step 2: Convert to fraction form
    432,493.22/648,972.48 = 179,948/x
  3. Step 3: Cross multiply
    432,493.22x = 648,972.48 × 179,948
  4. Step 4: Simplify right side
    432,493.22x = 116,781,299,831.04
  5. Step 5: Solve for x
    x = 116,781,299,831.04/432,493.22
  6. Step 6: Final answer
    x = 270,018.80

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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.