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Finding the Fourth Proportional to 389,158.32, 583,445.76 and 164,781.84

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Solution

The fourth proportional to 389,158.32, 583,445.76 and 164,781.84 is: 247,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,158.32 : 583,445.76 = 164,781.84 : x
  2. Step 2: Convert to fraction form
    389,158.32/583,445.76 = 164,781.84/x
  3. Step 3: Cross multiply
    389,158.32x = 583,445.76 × 164,781.84
  4. Step 4: Simplify right side
    389,158.32x = 96,141,265,873.00
  5. Step 5: Solve for x
    x = 96,141,265,873.00/389,158.32
  6. Step 6: Final answer
    x = 247,049.24

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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.