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Finding the Fourth Proportional to 305,334.19, 421,380.29 and 176,296.30

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Solution

The fourth proportional to 305,334.19, 421,380.29 and 176,296.30 is: 243,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,334.19 : 421,380.29 = 176,296.30 : x
  2. Step 2: Convert to fraction form
    305,334.19/421,380.29 = 176,296.30/x
  3. Step 3: Cross multiply
    305,334.19x = 421,380.29 × 176,296.30
  4. Step 4: Simplify right side
    305,334.19x = 74,287,785,407.22
  5. Step 5: Solve for x
    x = 74,287,785,407.22/305,334.19
  6. Step 6: Final answer
    x = 243,299.92

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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.