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Finding the Fourth Proportional to 298,268.52, 411,598.44 and 170,855.52

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Solution

The fourth proportional to 298,268.52, 411,598.44 and 170,855.52 is: 235,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,268.52 : 411,598.44 = 170,855.52 : x
  2. Step 2: Convert to fraction form
    298,268.52/411,598.44 = 170,855.52/x
  3. Step 3: Cross multiply
    298,268.52x = 411,598.44 × 170,855.52
  4. Step 4: Simplify right side
    298,268.52x = 70,323,865,497.39
  5. Step 5: Solve for x
    x = 70,323,865,497.39/298,268.52
  6. Step 6: Final answer
    x = 235,773.68

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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.