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Finding the Fourth Proportional to 437,114.24, 603,232.56 and 255,843

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Solution

The fourth proportional to 437,114.24, 603,232.56 and 255,843 is: 353,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,114.24 : 603,232.56 = 255,843 : x
  2. Step 2: Convert to fraction form
    437,114.24/603,232.56 = 255,843/x
  3. Step 3: Cross multiply
    437,114.24x = 603,232.56 × 255,843
  4. Step 4: Simplify right side
    437,114.24x = 154,332,827,848.08
  5. Step 5: Solve for x
    x = 154,332,827,848.08/437,114.24
  6. Step 6: Final answer
    x = 353,072.07

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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.