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Finding the Fourth Proportional to 310,617.80, 465,926.70 and 204,329.60

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Solution

The fourth proportional to 310,617.80, 465,926.70 and 204,329.60 is: 306,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,617.80 : 465,926.70 = 204,329.60 : x
  2. Step 2: Convert to fraction form
    310,617.80/465,926.70 = 204,329.60/x
  3. Step 3: Cross multiply
    310,617.80x = 465,926.70 × 204,329.60
  4. Step 4: Simplify right side
    310,617.80x = 95,202,616,240.32
  5. Step 5: Solve for x
    x = 95,202,616,240.32/310,617.80
  6. Step 6: Final answer
    x = 306,494.40

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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.