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Finding the Fourth Proportional to 298,497.78, 411,924.42 and 169,461

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Solution

The fourth proportional to 298,497.78, 411,924.42 and 169,461 is: 233,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,497.78 : 411,924.42 = 169,461 : x
  2. Step 2: Convert to fraction form
    298,497.78/411,924.42 = 169,461/x
  3. Step 3: Cross multiply
    298,497.78x = 411,924.42 × 169,461
  4. Step 4: Simplify right side
    298,497.78x = 69,805,124,137.62
  5. Step 5: Solve for x
    x = 69,805,124,137.62/298,497.78
  6. Step 6: Final answer
    x = 233,854.75

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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.