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Finding the Fourth Proportional to 486,113.40, 728,951.40 and 186,494.40

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Solution

The fourth proportional to 486,113.40, 728,951.40 and 186,494.40 is: 279,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,113.40 : 728,951.40 = 186,494.40 : x
  2. Step 2: Convert to fraction form
    486,113.40/728,951.40 = 186,494.40/x
  3. Step 3: Cross multiply
    486,113.40x = 728,951.40 × 186,494.40
  4. Step 4: Simplify right side
    486,113.40x = 135,945,353,972.16
  5. Step 5: Solve for x
    x = 135,945,353,972.16/486,113.40
  6. Step 6: Final answer
    x = 279,657.70

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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.