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Finding the Fourth Proportional to 510,253.87, 765,853.73 and 257,711.70

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Solution

The fourth proportional to 510,253.87, 765,853.73 and 257,711.70 is: 386,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,253.87 : 765,853.73 = 257,711.70 : x
  2. Step 2: Convert to fraction form
    510,253.87/765,853.73 = 257,711.70/x
  3. Step 3: Cross multiply
    510,253.87x = 765,853.73 × 257,711.70
  4. Step 4: Simplify right side
    510,253.87x = 197,369,468,293.03
  5. Step 5: Solve for x
    x = 197,369,468,293.03/510,253.87
  6. Step 6: Final answer
    x = 386,806.41

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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.