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Finding the Fourth Proportional to 431,515.86, 595,470.24 and 240,492.36

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Solution

The fourth proportional to 431,515.86, 595,470.24 and 240,492.36 is: 331,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,515.86 : 595,470.24 = 240,492.36 : x
  2. Step 2: Convert to fraction form
    431,515.86/595,470.24 = 240,492.36/x
  3. Step 3: Cross multiply
    431,515.86x = 595,470.24 × 240,492.36
  4. Step 4: Simplify right side
    431,515.86x = 143,206,043,327.37
  5. Step 5: Solve for x
    x = 143,206,043,327.37/431,515.86
  6. Step 6: Final answer
    x = 331,867.39

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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.