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Finding the Fourth Proportional to 389,079.38, 583,679.42 and 164,440.77

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Solution

The fourth proportional to 389,079.38, 583,679.42 and 164,440.77 is: 246,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,079.38 : 583,679.42 = 164,440.77 : x
  2. Step 2: Convert to fraction form
    389,079.38/583,679.42 = 164,440.77/x
  3. Step 3: Cross multiply
    389,079.38x = 583,679.42 × 164,440.77
  4. Step 4: Simplify right side
    389,079.38x = 95,980,690,863.60
  5. Step 5: Solve for x
    x = 95,980,690,863.60/389,079.38
  6. Step 6: Final answer
    x = 246,686.65

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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.