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Finding the Fourth Proportional to 534,712.20, 802,189.80 and 179,762.10

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Solution

The fourth proportional to 534,712.20, 802,189.80 and 179,762.10 is: 269,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,712.20 : 802,189.80 = 179,762.10 : x
  2. Step 2: Convert to fraction form
    534,712.20/802,189.80 = 179,762.10/x
  3. Step 3: Cross multiply
    534,712.20x = 802,189.80 × 179,762.10
  4. Step 4: Simplify right side
    534,712.20x = 144,203,323,046.58
  5. Step 5: Solve for x
    x = 144,203,323,046.58/534,712.20
  6. Step 6: Final answer
    x = 269,684.00

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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.