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Finding the Fourth Proportional to 257,685.52, 386,524.68 and 89,328.40

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Solution

The fourth proportional to 257,685.52, 386,524.68 and 89,328.40 is: 133,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,685.52 : 386,524.68 = 89,328.40 : x
  2. Step 2: Convert to fraction form
    257,685.52/386,524.68 = 89,328.40/x
  3. Step 3: Cross multiply
    257,685.52x = 386,524.68 × 89,328.40
  4. Step 4: Simplify right side
    257,685.52x = 34,527,631,224.91
  5. Step 5: Solve for x
    x = 34,527,631,224.91/257,685.52
  6. Step 6: Final answer
    x = 133,991.35

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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.