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Finding the Fourth Proportional to 313,301.41, 469,970.39 and 88,643.05

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Solution

The fourth proportional to 313,301.41, 469,970.39 and 88,643.05 is: 132,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,301.41 : 469,970.39 = 88,643.05 : x
  2. Step 2: Convert to fraction form
    313,301.41/469,970.39 = 88,643.05/x
  3. Step 3: Cross multiply
    313,301.41x = 469,970.39 × 88,643.05
  4. Step 4: Simplify right side
    313,301.41x = 41,659,609,588.36
  5. Step 5: Solve for x
    x = 41,659,609,588.36/313,301.41
  6. Step 6: Final answer
    x = 132,969.75

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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.