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Finding the Fourth Proportional to 385,065.27, 531,227.36 and 257,781.87

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Solution

The fourth proportional to 385,065.27, 531,227.36 and 257,781.87 is: 355,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,065.27 : 531,227.36 = 257,781.87 : x
  2. Step 2: Convert to fraction form
    385,065.27/531,227.36 = 257,781.87/x
  3. Step 3: Cross multiply
    385,065.27x = 531,227.36 × 257,781.87
  4. Step 4: Simplify right side
    385,065.27x = 136,940,780,967.05
  5. Step 5: Solve for x
    x = 136,940,780,967.05/385,065.27
  6. Step 6: Final answer
    x = 355,630.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.