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Finding the Fourth Proportional to 275,971.60, 413,132.28 and 169,018.76

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Solution

The fourth proportional to 275,971.60, 413,132.28 and 169,018.76 is: 253,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,971.60 : 413,132.28 = 169,018.76 : x
  2. Step 2: Convert to fraction form
    275,971.60/413,132.28 = 169,018.76/x
  3. Step 3: Cross multiply
    275,971.60x = 413,132.28 × 169,018.76
  4. Step 4: Simplify right side
    275,971.60x = 69,827,105,681.57
  5. Step 5: Solve for x
    x = 69,827,105,681.57/275,971.60
  6. Step 6: Final answer
    x = 253,022.80

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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.