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Finding the Fourth Proportional to 402,100.17, 554,899.74 and 218,338.97

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Solution

The fourth proportional to 402,100.17, 554,899.74 and 218,338.97 is: 301,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,100.17 : 554,899.74 = 218,338.97 : x
  2. Step 2: Convert to fraction form
    402,100.17/554,899.74 = 218,338.97/x
  3. Step 3: Cross multiply
    402,100.17x = 554,899.74 × 218,338.97
  4. Step 4: Simplify right side
    402,100.17x = 121,156,236,593.17
  5. Step 5: Solve for x
    x = 121,156,236,593.17/402,100.17
  6. Step 6: Final answer
    x = 301,308.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.