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Finding the Fourth Proportional to 298,045.24, 411,285.81 and 170,729.04

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Solution

The fourth proportional to 298,045.24, 411,285.81 and 170,729.04 is: 235,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,045.24 : 411,285.81 = 170,729.04 : x
  2. Step 2: Convert to fraction form
    298,045.24/411,285.81 = 170,729.04/x
  3. Step 3: Cross multiply
    298,045.24x = 411,285.81 × 170,729.04
  4. Step 4: Simplify right side
    298,045.24x = 70,218,431,506.92
  5. Step 5: Solve for x
    x = 70,218,431,506.92/298,045.24
  6. Step 6: Final answer
    x = 235,596.55

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Why These Related Problems?

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