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Finding the Fourth Proportional to 324,097.60, 486,583.80 and 257,612.80

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Solution

The fourth proportional to 324,097.60, 486,583.80 and 257,612.80 is: 386,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,097.60 : 486,583.80 = 257,612.80 : x
  2. Step 2: Convert to fraction form
    324,097.60/486,583.80 = 257,612.80/x
  3. Step 3: Cross multiply
    324,097.60x = 486,583.80 × 257,612.80
  4. Step 4: Simplify right side
    324,097.60x = 125,350,215,152.64
  5. Step 5: Solve for x
    x = 125,350,215,152.64/324,097.60
  6. Step 6: Final answer
    x = 386,766.87

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1.5x scale

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.