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Finding the Fourth Proportional to 1,165,217.96, 1,747,921.80 and 323,769.80

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Solution

The fourth proportional to 1,165,217.96, 1,747,921.80 and 323,769.80 is: 485,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,217.96 : 1,747,921.80 = 323,769.80 : x
  2. Step 2: Convert to fraction form
    1,165,217.96/1,747,921.80 = 323,769.80/x
  3. Step 3: Cross multiply
    1,165,217.96x = 1,747,921.80 × 323,769.80
  4. Step 4: Simplify right side
    1,165,217.96x = 565,924,291,601.64
  5. Step 5: Solve for x
    x = 565,924,291,601.64/1,165,217.96
  6. Step 6: Final answer
    x = 485,681.06

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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.