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Finding the Fourth Proportional to 305,428.26, 421,423.29 and 176,338.74

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Solution

The fourth proportional to 305,428.26, 421,423.29 and 176,338.74 is: 243,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,428.26 : 421,423.29 = 176,338.74 : x
  2. Step 2: Convert to fraction form
    305,428.26/421,423.29 = 176,338.74/x
  3. Step 3: Cross multiply
    305,428.26x = 421,423.29 × 176,338.74
  4. Step 4: Simplify right side
    305,428.26x = 74,313,251,965.25
  5. Step 5: Solve for x
    x = 74,313,251,965.25/305,428.26
  6. Step 6: Final answer
    x = 243,308.37

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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.