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Finding the Fourth Proportional to 527,524.66, 727,984.20 and 285,808.90

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Solution

The fourth proportional to 527,524.66, 727,984.20 and 285,808.90 is: 394,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,524.66 : 727,984.20 = 285,808.90 : x
  2. Step 2: Convert to fraction form
    527,524.66/727,984.20 = 285,808.90/x
  3. Step 3: Cross multiply
    527,524.66x = 727,984.20 × 285,808.90
  4. Step 4: Simplify right side
    527,524.66x = 208,064,363,419.38
  5. Step 5: Solve for x
    x = 208,064,363,419.38/527,524.66
  6. Step 6: Final answer
    x = 394,416.37

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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.