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Finding the Fourth Proportional to 402,753.88, 604,091.82 and 122,273.56

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Solution

The fourth proportional to 402,753.88, 604,091.82 and 122,273.56 is: 183,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,753.88 : 604,091.82 = 122,273.56 : x
  2. Step 2: Convert to fraction form
    402,753.88/604,091.82 = 122,273.56/x
  3. Step 3: Cross multiply
    402,753.88x = 604,091.82 × 122,273.56
  4. Step 4: Simplify right side
    402,753.88x = 73,864,457,398.28
  5. Step 5: Solve for x
    x = 73,864,457,398.28/402,753.88
  6. Step 6: Final answer
    x = 183,398.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.