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Finding the Fourth Proportional to 474,435.92, 654,737.92 and 259,576

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Solution

The fourth proportional to 474,435.92, 654,737.92 and 259,576 is: 358,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,435.92 : 654,737.92 = 259,576 : x
  2. Step 2: Convert to fraction form
    474,435.92/654,737.92 = 259,576/x
  3. Step 3: Cross multiply
    474,435.92x = 654,737.92 × 259,576
  4. Step 4: Simplify right side
    474,435.92x = 169,954,250,321.92
  5. Step 5: Solve for x
    x = 169,954,250,321.92/474,435.92
  6. Step 6: Final answer
    x = 358,223.83

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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.