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Finding the Fourth Proportional to 298,382.61, 411,803.01 and 167,581.71

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Solution

The fourth proportional to 298,382.61, 411,803.01 and 167,581.71 is: 231,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,382.61 : 411,803.01 = 167,581.71 : x
  2. Step 2: Convert to fraction form
    298,382.61/411,803.01 = 167,581.71/x
  3. Step 3: Cross multiply
    298,382.61x = 411,803.01 × 167,581.71
  4. Step 4: Simplify right side
    298,382.61x = 69,010,652,598.95
  5. Step 5: Solve for x
    x = 69,010,652,598.95/298,382.61
  6. Step 6: Final answer
    x = 231,282.42

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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.