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Finding the Fourth Proportional to 363,119.40, 501,097.57 and 201,970.98

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Solution

The fourth proportional to 363,119.40, 501,097.57 and 201,970.98 is: 278,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,119.40 : 501,097.57 = 201,970.98 : x
  2. Step 2: Convert to fraction form
    363,119.40/501,097.57 = 201,970.98/x
  3. Step 3: Cross multiply
    363,119.40x = 501,097.57 × 201,970.98
  4. Step 4: Simplify right side
    363,119.40x = 101,207,167,288.52
  5. Step 5: Solve for x
    x = 101,207,167,288.52/363,119.40
  6. Step 6: Final answer
    x = 278,715.95

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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.