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Finding the Fourth Proportional to 437,690.82, 656,593.65 and 171,416.74

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Solution

The fourth proportional to 437,690.82, 656,593.65 and 171,416.74 is: 257,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,690.82 : 656,593.65 = 171,416.74 : x
  2. Step 2: Convert to fraction form
    437,690.82/656,593.65 = 171,416.74/x
  3. Step 3: Cross multiply
    437,690.82x = 656,593.65 × 171,416.74
  4. Step 4: Simplify right side
    437,690.82x = 112,551,141,312.86
  5. Step 5: Solve for x
    x = 112,551,141,312.86/437,690.82
  6. Step 6: Final answer
    x = 257,147.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.