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Finding the Fourth Proportional to 527,519.68, 727,977.30 and 285,803.92

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Solution

The fourth proportional to 527,519.68, 727,977.30 and 285,803.92 is: 394,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,519.68 : 727,977.30 = 285,803.92 : x
  2. Step 2: Convert to fraction form
    527,519.68/727,977.30 = 285,803.92/x
  3. Step 3: Cross multiply
    527,519.68x = 727,977.30 × 285,803.92
  4. Step 4: Simplify right side
    527,519.68x = 208,058,766,011.02
  5. Step 5: Solve for x
    x = 208,058,766,011.02/527,519.68
  6. Step 6: Final answer
    x = 394,409.49

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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.