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Finding the Fourth Proportional to 527,189.28, 727,524.71 and 285,471.86

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Solution

The fourth proportional to 527,189.28, 727,524.71 and 285,471.86 is: 393,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,189.28 : 727,524.71 = 285,471.86 : x
  2. Step 2: Convert to fraction form
    527,189.28/727,524.71 = 285,471.86/x
  3. Step 3: Cross multiply
    527,189.28x = 727,524.71 × 285,471.86
  4. Step 4: Simplify right side
    527,189.28x = 207,687,827,094.68
  5. Step 5: Solve for x
    x = 207,687,827,094.68/527,189.28
  6. Step 6: Final answer
    x = 393,953.05

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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.