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Finding the Fourth Proportional to 297,598.93, 410,689.49 and 161,634.15

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Solution

The fourth proportional to 297,598.93, 410,689.49 and 161,634.15 is: 223,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,598.93 : 410,689.49 = 161,634.15 : x
  2. Step 2: Convert to fraction form
    297,598.93/410,689.49 = 161,634.15/x
  3. Step 3: Cross multiply
    297,598.93x = 410,689.49 × 161,634.15
  4. Step 4: Simplify right side
    297,598.93x = 66,381,445,821.91
  5. Step 5: Solve for x
    x = 66,381,445,821.91/297,598.93
  6. Step 6: Final answer
    x = 223,056.74

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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.