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Finding the Fourth Proportional to 527,524.91, 727,941.29 and 309,710.64

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Solution

The fourth proportional to 527,524.91, 727,941.29 and 309,710.64 is: 427,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,524.91 : 727,941.29 = 309,710.64 : x
  2. Step 2: Convert to fraction form
    527,524.91/727,941.29 = 309,710.64/x
  3. Step 3: Cross multiply
    527,524.91x = 727,941.29 × 309,710.64
  4. Step 4: Simplify right side
    527,524.91x = 225,451,162,808.33
  5. Step 5: Solve for x
    x = 225,451,162,808.33/527,524.91
  6. Step 6: Final answer
    x = 427,375.39

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