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Finding the Fourth Proportional to 527,867.28, 728,285.58 and 298,402.38

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Solution

The fourth proportional to 527,867.28, 728,285.58 and 298,402.38 is: 411,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,867.28 : 728,285.58 = 298,402.38 : x
  2. Step 2: Convert to fraction form
    527,867.28/728,285.58 = 298,402.38/x
  3. Step 3: Cross multiply
    527,867.28x = 728,285.58 × 298,402.38
  4. Step 4: Simplify right side
    527,867.28x = 217,322,150,391.68
  5. Step 5: Solve for x
    x = 217,322,150,391.68/527,867.28
  6. Step 6: Final answer
    x = 411,698.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.