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Finding the Fourth Proportional to 587,908.56, 881,163 and 409,449.36

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Solution

The fourth proportional to 587,908.56, 881,163 and 409,449.36 is: 613,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,908.56 : 881,163 = 409,449.36 : x
  2. Step 2: Convert to fraction form
    587,908.56/881,163 = 409,449.36/x
  3. Step 3: Cross multiply
    587,908.56x = 881,163 × 409,449.36
  4. Step 4: Simplify right side
    587,908.56x = 360,791,626,405.68
  5. Step 5: Solve for x
    x = 360,791,626,405.68/587,908.56
  6. Step 6: Final answer
    x = 613,686.64

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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.