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Finding the Fourth Proportional to 431,830.94, 595,923.37 and 238,246.81

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Solution

The fourth proportional to 431,830.94, 595,923.37 and 238,246.81 is: 328,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,830.94 : 595,923.37 = 238,246.81 : x
  2. Step 2: Convert to fraction form
    431,830.94/595,923.37 = 238,246.81/x
  3. Step 3: Cross multiply
    431,830.94x = 595,923.37 × 238,246.81
  4. Step 4: Simplify right side
    431,830.94x = 141,976,841,311.33
  5. Step 5: Solve for x
    x = 141,976,841,311.33/431,830.94
  6. Step 6: Final answer
    x = 328,778.76

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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.