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Finding the Fourth Proportional to 389,701.40, 584,114.70 and 165,023.60

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Solution

The fourth proportional to 389,701.40, 584,114.70 and 165,023.60 is: 247,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,701.40 : 584,114.70 = 165,023.60 : x
  2. Step 2: Convert to fraction form
    389,701.40/584,114.70 = 165,023.60/x
  3. Step 3: Cross multiply
    389,701.40x = 584,114.70 × 165,023.60
  4. Step 4: Simplify right side
    389,701.40x = 96,392,710,606.92
  5. Step 5: Solve for x
    x = 96,392,710,606.92/389,701.40
  6. Step 6: Final answer
    x = 247,350.18

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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.