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Finding the Fourth Proportional to 372,660.84, 514,273.14 and 202,896

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Solution

The fourth proportional to 372,660.84, 514,273.14 and 202,896 is: 279,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,660.84 : 514,273.14 = 202,896 : x
  2. Step 2: Convert to fraction form
    372,660.84/514,273.14 = 202,896/x
  3. Step 3: Cross multiply
    372,660.84x = 514,273.14 × 202,896
  4. Step 4: Simplify right side
    372,660.84x = 104,343,963,013.44
  5. Step 5: Solve for x
    x = 104,343,963,013.44/372,660.84
  6. Step 6: Final answer
    x = 279,997.12

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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.