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Finding the Fourth Proportional to 363,055.95, 500,978.85 and 201,884.98

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Solution

The fourth proportional to 363,055.95, 500,978.85 and 201,884.98 is: 278,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,055.95 : 500,978.85 = 201,884.98 : x
  2. Step 2: Convert to fraction form
    363,055.95/500,978.85 = 201,884.98/x
  3. Step 3: Cross multiply
    363,055.95x = 500,978.85 × 201,884.98
  4. Step 4: Simplify right side
    363,055.95x = 101,140,105,112.67
  5. Step 5: Solve for x
    x = 101,140,105,112.67/363,055.95
  6. Step 6: Final answer
    x = 278,579.94

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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.