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Finding the Fourth Proportional to 298,160.80, 411,454.49 and 170,828.19

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Solution

The fourth proportional to 298,160.80, 411,454.49 and 170,828.19 is: 235,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,160.80 : 411,454.49 = 170,828.19 : x
  2. Step 2: Convert to fraction form
    298,160.80/411,454.49 = 170,828.19/x
  3. Step 3: Cross multiply
    298,160.80x = 411,454.49 × 170,828.19
  4. Step 4: Simplify right side
    298,160.80x = 70,288,024,939.93
  5. Step 5: Solve for x
    x = 70,288,024,939.93/298,160.80
  6. Step 6: Final answer
    x = 235,738.65

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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.