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Finding the Fourth Proportional to 283,657.36, 391,446.34 and 156,332.92

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Solution

The fourth proportional to 283,657.36, 391,446.34 and 156,332.92 is: 215,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,657.36 : 391,446.34 = 156,332.92 : x
  2. Step 2: Convert to fraction form
    283,657.36/391,446.34 = 156,332.92/x
  3. Step 3: Cross multiply
    283,657.36x = 391,446.34 × 156,332.92
  4. Step 4: Simplify right side
    283,657.36x = 61,195,949,355.51
  5. Step 5: Solve for x
    x = 61,195,949,355.51/283,657.36
  6. Step 6: Final answer
    x = 215,738.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.