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Finding the Fourth Proportional to 298,805.31, 412,340.90 and 162,836.51

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Solution

The fourth proportional to 298,805.31, 412,340.90 and 162,836.51 is: 224,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.31 : 412,340.90 = 162,836.51 : x
  2. Step 2: Convert to fraction form
    298,805.31/412,340.90 = 162,836.51/x
  3. Step 3: Cross multiply
    298,805.31x = 412,340.90 × 162,836.51
  4. Step 4: Simplify right side
    298,805.31x = 67,144,150,210.37
  5. Step 5: Solve for x
    x = 67,144,150,210.37/298,805.31
  6. Step 6: Final answer
    x = 224,708.69

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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.