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Finding the Fourth Proportional to 418,309.02, 627,024.92 and 204,782.50

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Solution

The fourth proportional to 418,309.02, 627,024.92 and 204,782.50 is: 306,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,309.02 : 627,024.92 = 204,782.50 : x
  2. Step 2: Convert to fraction form
    418,309.02/627,024.92 = 204,782.50/x
  3. Step 3: Cross multiply
    418,309.02x = 627,024.92 × 204,782.50
  4. Step 4: Simplify right side
    418,309.02x = 128,403,730,679.90
  5. Step 5: Solve for x
    x = 128,403,730,679.90/418,309.02
  6. Step 6: Final answer
    x = 306,959.03

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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.