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Finding the Fourth Proportional to 372,648.90, 514,254.78 and 202,882.62

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Solution

The fourth proportional to 372,648.90, 514,254.78 and 202,882.62 is: 279,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,648.90 : 514,254.78 = 202,882.62 : x
  2. Step 2: Convert to fraction form
    372,648.90/514,254.78 = 202,882.62/x
  3. Step 3: Cross multiply
    372,648.90x = 514,254.78 × 202,882.62
  4. Step 4: Simplify right side
    372,648.90x = 104,333,357,113.92
  5. Step 5: Solve for x
    x = 104,333,357,113.92/372,648.90
  6. Step 6: Final answer
    x = 279,977.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.