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Finding the Fourth Proportional to 475,866.30, 656,737.62 and 261,048.24

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Solution

The fourth proportional to 475,866.30, 656,737.62 and 261,048.24 is: 360,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,866.30 : 656,737.62 = 261,048.24 : x
  2. Step 2: Convert to fraction form
    475,866.30/656,737.62 = 261,048.24/x
  3. Step 3: Cross multiply
    475,866.30x = 656,737.62 × 261,048.24
  4. Step 4: Simplify right side
    475,866.30x = 171,440,199,842.79
  5. Step 5: Solve for x
    x = 171,440,199,842.79/475,866.30
  6. Step 6: Final answer
    x = 360,269.68

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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.