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Finding the Fourth Proportional to 527,742.66, 728,281.99 and 286,022.66

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Solution

The fourth proportional to 527,742.66, 728,281.99 and 286,022.66 is: 394,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,742.66 : 728,281.99 = 286,022.66 : x
  2. Step 2: Convert to fraction form
    527,742.66/728,281.99 = 286,022.66/x
  3. Step 3: Cross multiply
    527,742.66x = 728,281.99 × 286,022.66
  4. Step 4: Simplify right side
    527,742.66x = 208,305,154,188.13
  5. Step 5: Solve for x
    x = 208,305,154,188.13/527,742.66
  6. Step 6: Final answer
    x = 394,709.71

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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.