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Finding the Fourth Proportional to 501,850.49, 752,203.06 and 202,139.15

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Solution

The fourth proportional to 501,850.49, 752,203.06 and 202,139.15 is: 302,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,850.49 : 752,203.06 = 202,139.15 : x
  2. Step 2: Convert to fraction form
    501,850.49/752,203.06 = 202,139.15/x
  3. Step 3: Cross multiply
    501,850.49x = 752,203.06 × 202,139.15
  4. Step 4: Simplify right side
    501,850.49x = 152,049,682,909.44
  5. Step 5: Solve for x
    x = 152,049,682,909.44/501,850.49
  6. Step 6: Final answer
    x = 302,978.05

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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.