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Finding the Fourth Proportional to 371,944.28, 513,283.44 and 202,178.40

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Solution

The fourth proportional to 371,944.28, 513,283.44 and 202,178.40 is: 279,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,944.28 : 513,283.44 = 202,178.40 : x
  2. Step 2: Convert to fraction form
    371,944.28/513,283.44 = 202,178.40/x
  3. Step 3: Cross multiply
    371,944.28x = 513,283.44 × 202,178.40
  4. Step 4: Simplify right side
    371,944.28x = 103,774,824,645.70
  5. Step 5: Solve for x
    x = 103,774,824,645.70/371,944.28
  6. Step 6: Final answer
    x = 279,006.38

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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.