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Finding the Fourth Proportional to 310,072.35, 465,240.15 and 150,267.23

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Solution

The fourth proportional to 310,072.35, 465,240.15 and 150,267.23 is: 225,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,072.35 : 465,240.15 = 150,267.23 : x
  2. Step 2: Convert to fraction form
    310,072.35/465,240.15 = 150,267.23/x
  3. Step 3: Cross multiply
    310,072.35x = 465,240.15 × 150,267.23
  4. Step 4: Simplify right side
    310,072.35x = 69,910,348,929.60
  5. Step 5: Solve for x
    x = 69,910,348,929.60/310,072.35
  6. Step 6: Final answer
    x = 225,464.64

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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.