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Finding the Fourth Proportional to 437,861.40, 656,306.10 and 171,533.40

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Solution

The fourth proportional to 437,861.40, 656,306.10 and 171,533.40 is: 257,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,861.40 : 656,306.10 = 171,533.40 : x
  2. Step 2: Convert to fraction form
    437,861.40/656,306.10 = 171,533.40/x
  3. Step 3: Cross multiply
    437,861.40x = 656,306.10 × 171,533.40
  4. Step 4: Simplify right side
    437,861.40x = 112,578,416,773.74
  5. Step 5: Solve for x
    x = 112,578,416,773.74/437,861.40
  6. Step 6: Final answer
    x = 257,109.71

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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.