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Finding the Fourth Proportional to 257,434.39, 386,215.90 and 181,680.84

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Solution

The fourth proportional to 257,434.39, 386,215.90 and 181,680.84 is: 272,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,434.39 : 386,215.90 = 181,680.84 : x
  2. Step 2: Convert to fraction form
    257,434.39/386,215.90 = 181,680.84/x
  3. Step 3: Cross multiply
    257,434.39x = 386,215.90 × 181,680.84
  4. Step 4: Simplify right side
    257,434.39x = 70,168,029,587.56
  5. Step 5: Solve for x
    x = 70,168,029,587.56/257,434.39
  6. Step 6: Final answer
    x = 272,566.65

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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.