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Finding the Fourth Proportional to 297,686.04, 410,809.62 and 161,721.06

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Solution

The fourth proportional to 297,686.04, 410,809.62 and 161,721.06 is: 223,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,686.04 : 410,809.62 = 161,721.06 : x
  2. Step 2: Convert to fraction form
    297,686.04/410,809.62 = 161,721.06/x
  3. Step 3: Cross multiply
    297,686.04x = 410,809.62 × 161,721.06
  4. Step 4: Simplify right side
    297,686.04x = 66,436,566,270.52
  5. Step 5: Solve for x
    x = 66,436,566,270.52/297,686.04
  6. Step 6: Final answer
    x = 223,176.63

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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.