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Finding the Fourth Proportional to 402,945.38, 556,065.90 and 221,671.09

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Solution

The fourth proportional to 402,945.38, 556,065.90 and 221,671.09 is: 305,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,945.38 : 556,065.90 = 221,671.09 : x
  2. Step 2: Convert to fraction form
    402,945.38/556,065.90 = 221,671.09/x
  3. Step 3: Cross multiply
    402,945.38x = 556,065.90 × 221,671.09
  4. Step 4: Simplify right side
    402,945.38x = 123,263,734,164.83
  5. Step 5: Solve for x
    x = 123,263,734,164.83/402,945.38
  6. Step 6: Final answer
    x = 305,906.81

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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.