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Finding the Fourth Proportional to 297,097.74, 410,022.90 and 169,748.64

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Solution

The fourth proportional to 297,097.74, 410,022.90 and 169,748.64 is: 234,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,097.74 : 410,022.90 = 169,748.64 : x
  2. Step 2: Convert to fraction form
    297,097.74/410,022.90 = 169,748.64/x
  3. Step 3: Cross multiply
    297,097.74x = 410,022.90 × 169,748.64
  4. Step 4: Simplify right side
    297,097.74x = 69,600,829,643.86
  5. Step 5: Solve for x
    x = 69,600,829,643.86/297,097.74
  6. Step 6: Final answer
    x = 234,269.13

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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.