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Finding the Fourth Proportional to 291,734.40, 437,601.60 and 274,019.70

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Solution

The fourth proportional to 291,734.40, 437,601.60 and 274,019.70 is: 411,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,734.40 : 437,601.60 = 274,019.70 : x
  2. Step 2: Convert to fraction form
    291,734.40/437,601.60 = 274,019.70/x
  3. Step 3: Cross multiply
    291,734.40x = 437,601.60 × 274,019.70
  4. Step 4: Simplify right side
    291,734.40x = 119,911,459,151.52
  5. Step 5: Solve for x
    x = 119,911,459,151.52/291,734.40
  6. Step 6: Final answer
    x = 411,029.55

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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.