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Finding the Fourth Proportional to 310,511.60, 465,767.40 and 216,033.20

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Solution

The fourth proportional to 310,511.60, 465,767.40 and 216,033.20 is: 324,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,511.60 : 465,767.40 = 216,033.20 : x
  2. Step 2: Convert to fraction form
    310,511.60/465,767.40 = 216,033.20/x
  3. Step 3: Cross multiply
    310,511.60x = 465,767.40 × 216,033.20
  4. Step 4: Simplify right side
    310,511.60x = 100,621,221,877.68
  5. Step 5: Solve for x
    x = 100,621,221,877.68/310,511.60
  6. Step 6: Final answer
    x = 324,049.80

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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.