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Finding the Fourth Proportional to 275,129.96, 413,328.24 and 194,263.80

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Solution

The fourth proportional to 275,129.96, 413,328.24 and 194,263.80 is: 291,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,129.96 : 413,328.24 = 194,263.80 : x
  2. Step 2: Convert to fraction form
    275,129.96/413,328.24 = 194,263.80/x
  3. Step 3: Cross multiply
    275,129.96x = 413,328.24 × 194,263.80
  4. Step 4: Simplify right side
    275,129.96x = 80,294,714,549.71
  5. Step 5: Solve for x
    x = 80,294,714,549.71/275,129.96
  6. Step 6: Final answer
    x = 291,842.87

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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.