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Finding the Fourth Proportional to 345,643.60, 517,882.20 and 167,767.60

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Solution

The fourth proportional to 345,643.60, 517,882.20 and 167,767.60 is: 251,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,643.60 : 517,882.20 = 167,767.60 : x
  2. Step 2: Convert to fraction form
    345,643.60/517,882.20 = 167,767.60/x
  3. Step 3: Cross multiply
    345,643.60x = 517,882.20 × 167,767.60
  4. Step 4: Simplify right side
    345,643.60x = 86,883,853,776.72
  5. Step 5: Solve for x
    x = 86,883,853,776.72/345,643.60
  6. Step 6: Final answer
    x = 251,368.33

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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.