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Finding the Fourth Proportional to 275,747.60, 413,633.55 and 155,802.80

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Solution

The fourth proportional to 275,747.60, 413,633.55 and 155,802.80 is: 233,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,747.60 : 413,633.55 = 155,802.80 : x
  2. Step 2: Convert to fraction form
    275,747.60/413,633.55 = 155,802.80/x
  3. Step 3: Cross multiply
    275,747.60x = 413,633.55 × 155,802.80
  4. Step 4: Simplify right side
    275,747.60x = 64,445,265,263.94
  5. Step 5: Solve for x
    x = 64,445,265,263.94/275,747.60
  6. Step 6: Final answer
    x = 233,711.06

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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.