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Finding the Fourth Proportional to 527,541.22, 728,006.97 and 285,825.38

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Solution

The fourth proportional to 527,541.22, 728,006.97 and 285,825.38 is: 394,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,541.22 : 728,006.97 = 285,825.38 : x
  2. Step 2: Convert to fraction form
    527,541.22/728,006.97 = 285,825.38/x
  3. Step 3: Cross multiply
    527,541.22x = 728,006.97 × 285,825.38
  4. Step 4: Simplify right side
    527,541.22x = 208,082,868,842.90
  5. Step 5: Solve for x
    x = 208,082,868,842.90/527,541.22
  6. Step 6: Final answer
    x = 394,439.07

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1.5x scale

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.