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Finding the Fourth Proportional to 282,898.38, 390,370.24 and 162,044.76

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Solution

The fourth proportional to 282,898.38, 390,370.24 and 162,044.76 is: 223,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,898.38 : 390,370.24 = 162,044.76 : x
  2. Step 2: Convert to fraction form
    282,898.38/390,370.24 = 162,044.76/x
  3. Step 3: Cross multiply
    282,898.38x = 390,370.24 × 162,044.76
  4. Step 4: Simplify right side
    282,898.38x = 63,257,451,041.72
  5. Step 5: Solve for x
    x = 63,257,451,041.72/282,898.38
  6. Step 6: Final answer
    x = 223,604.85

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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.