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Finding the Fourth Proportional to 389,121.60, 583,358.40 and 164,654.40

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Solution

The fourth proportional to 389,121.60, 583,358.40 and 164,654.40 is: 246,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,121.60 : 583,358.40 = 164,654.40 : x
  2. Step 2: Convert to fraction form
    389,121.60/583,358.40 = 164,654.40/x
  3. Step 3: Cross multiply
    389,121.60x = 583,358.40 × 164,654.40
  4. Step 4: Simplify right side
    389,121.60x = 96,052,527,336.96
  5. Step 5: Solve for x
    x = 96,052,527,336.96/389,121.60
  6. Step 6: Final answer
    x = 246,844.50

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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.