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Finding the Fourth Proportional to 534,909.10, 802,400.10 and 170,141.80

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Solution

The fourth proportional to 534,909.10, 802,400.10 and 170,141.80 is: 255,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,909.10 : 802,400.10 = 170,141.80 : x
  2. Step 2: Convert to fraction form
    534,909.10/802,400.10 = 170,141.80/x
  3. Step 3: Cross multiply
    534,909.10x = 802,400.10 × 170,141.80
  4. Step 4: Simplify right side
    534,909.10x = 136,521,797,334.18
  5. Step 5: Solve for x
    x = 136,521,797,334.18/534,909.10
  6. Step 6: Final answer
    x = 255,224.29

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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.