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Finding the Fourth Proportional to 371,945.89, 513,287.13 and 202,180

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Solution

The fourth proportional to 371,945.89, 513,287.13 and 202,180 is: 279,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,945.89 : 513,287.13 = 202,180 : x
  2. Step 2: Convert to fraction form
    371,945.89/513,287.13 = 202,180/x
  3. Step 3: Cross multiply
    371,945.89x = 513,287.13 × 202,180
  4. Step 4: Simplify right side
    371,945.89x = 103,776,391,943.40
  5. Step 5: Solve for x
    x = 103,776,391,943.40/371,945.89
  6. Step 6: Final answer
    x = 279,009.38

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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.