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Finding the Fourth Proportional to 402,774.28, 555,813.56 and 221,475.42

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Solution

The fourth proportional to 402,774.28, 555,813.56 and 221,475.42 is: 305,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,774.28 : 555,813.56 = 221,475.42 : x
  2. Step 2: Convert to fraction form
    402,774.28/555,813.56 = 221,475.42/x
  3. Step 3: Cross multiply
    402,774.28x = 555,813.56 × 221,475.42
  4. Step 4: Simplify right side
    402,774.28x = 123,099,042,196.38
  5. Step 5: Solve for x
    x = 123,099,042,196.38/402,774.28
  6. Step 6: Final answer
    x = 305,627.86

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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.