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Finding the Fourth Proportional to 463,610.80, 695,416.20 and 164,429.20

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Solution

The fourth proportional to 463,610.80, 695,416.20 and 164,429.20 is: 246,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,610.80 : 695,416.20 = 164,429.20 : x
  2. Step 2: Convert to fraction form
    463,610.80/695,416.20 = 164,429.20/x
  3. Step 3: Cross multiply
    463,610.80x = 695,416.20 × 164,429.20
  4. Step 4: Simplify right side
    463,610.80x = 114,346,729,433.04
  5. Step 5: Solve for x
    x = 114,346,729,433.04/463,610.80
  6. Step 6: Final answer
    x = 246,643.80

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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.