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Finding the Fourth Proportional to 275,688.60, 413,314.20 and 151,029.60

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Solution

The fourth proportional to 275,688.60, 413,314.20 and 151,029.60 is: 226,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,688.60 : 413,314.20 = 151,029.60 : x
  2. Step 2: Convert to fraction form
    275,688.60/413,314.20 = 151,029.60/x
  3. Step 3: Cross multiply
    275,688.60x = 413,314.20 × 151,029.60
  4. Step 4: Simplify right side
    275,688.60x = 62,422,678,300.32
  5. Step 5: Solve for x
    x = 62,422,678,300.32/275,688.60
  6. Step 6: Final answer
    x = 226,424.59

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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.