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Finding the Fourth Proportional to 405,686.24, 608,719.04 and 181,023.04

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Solution

The fourth proportional to 405,686.24, 608,719.04 and 181,023.04 is: 271,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686.24 : 608,719.04 = 181,023.04 : x
  2. Step 2: Convert to fraction form
    405,686.24/608,719.04 = 181,023.04/x
  3. Step 3: Cross multiply
    405,686.24x = 608,719.04 × 181,023.04
  4. Step 4: Simplify right side
    405,686.24x = 110,192,171,126.68
  5. Step 5: Solve for x
    x = 110,192,171,126.68/405,686.24
  6. Step 6: Final answer
    x = 271,619.20

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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.