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Finding the Fourth Proportional to 527,891.68, 728,494.26 and 286,178.06

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Solution

The fourth proportional to 527,891.68, 728,494.26 and 286,178.06 is: 394,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,891.68 : 728,494.26 = 286,178.06 : x
  2. Step 2: Convert to fraction form
    527,891.68/728,494.26 = 286,178.06/x
  3. Step 3: Cross multiply
    527,891.68x = 728,494.26 × 286,178.06
  4. Step 4: Simplify right side
    527,891.68x = 208,479,074,796.00
  5. Step 5: Solve for x
    x = 208,479,074,796.00/527,891.68
  6. Step 6: Final answer
    x = 394,927.75

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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.