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Finding the Fourth Proportional to 527,811.28, 728,381.12 and 286,094.81

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Solution

The fourth proportional to 527,811.28, 728,381.12 and 286,094.81 is: 394,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,811.28 : 728,381.12 = 286,094.81 : x
  2. Step 2: Convert to fraction form
    527,811.28/728,381.12 = 286,094.81/x
  3. Step 3: Cross multiply
    527,811.28x = 728,381.12 × 286,094.81
  4. Step 4: Simplify right side
    527,811.28x = 208,386,058,133.99
  5. Step 5: Solve for x
    x = 208,386,058,133.99/527,811.28
  6. Step 6: Final answer
    x = 394,811.68

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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.