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Finding the Fourth Proportional to 527,742.37, 728,281.56 and 286,022.35

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Solution

The fourth proportional to 527,742.37, 728,281.56 and 286,022.35 is: 394,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,742.37 : 728,281.56 = 286,022.35 : x
  2. Step 2: Convert to fraction form
    527,742.37/728,281.56 = 286,022.35/x
  3. Step 3: Cross multiply
    527,742.37x = 728,281.56 × 286,022.35
  4. Step 4: Simplify right side
    527,742.37x = 208,304,803,252.87
  5. Step 5: Solve for x
    x = 208,304,803,252.87/527,742.37
  6. Step 6: Final answer
    x = 394,709.27

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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.