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Finding the Fourth Proportional to 437,838.40, 656,757.60 and 280,374.40

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Solution

The fourth proportional to 437,838.40, 656,757.60 and 280,374.40 is: 420,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,838.40 : 656,757.60 = 280,374.40 : x
  2. Step 2: Convert to fraction form
    437,838.40/656,757.60 = 280,374.40/x
  3. Step 3: Cross multiply
    437,838.40x = 656,757.60 × 280,374.40
  4. Step 4: Simplify right side
    437,838.40x = 184,138,018,045.44
  5. Step 5: Solve for x
    x = 184,138,018,045.44/437,838.40
  6. Step 6: Final answer
    x = 420,561.60

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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.