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Finding the Fourth Proportional to 308,641.86, 462,644.91 and 175,240.31

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Solution

The fourth proportional to 308,641.86, 462,644.91 and 175,240.31 is: 262,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,641.86 : 462,644.91 = 175,240.31 : x
  2. Step 2: Convert to fraction form
    308,641.86/462,644.91 = 175,240.31/x
  3. Step 3: Cross multiply
    308,641.86x = 462,644.91 × 175,240.31
  4. Step 4: Simplify right side
    308,641.86x = 81,074,035,135.10
  5. Step 5: Solve for x
    x = 81,074,035,135.10/308,641.86
  6. Step 6: Final answer
    x = 262,679.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.