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Finding the Fourth Proportional to 389,080.39, 583,680.92 and 164,441.77

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Solution

The fourth proportional to 389,080.39, 583,680.92 and 164,441.77 is: 246,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,080.39 : 583,680.92 = 164,441.77 : x
  2. Step 2: Convert to fraction form
    389,080.39/583,680.92 = 164,441.77/x
  3. Step 3: Cross multiply
    389,080.39x = 583,680.92 × 164,441.77
  4. Step 4: Simplify right side
    389,080.39x = 95,981,520,681.62
  5. Step 5: Solve for x
    x = 95,981,520,681.62/389,080.39
  6. Step 6: Final answer
    x = 246,688.15

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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.