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Finding the Fourth Proportional to 424,197.12, 585,392.32 and 233,213.76

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Solution

The fourth proportional to 424,197.12, 585,392.32 and 233,213.76 is: 321,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,197.12 : 585,392.32 = 233,213.76 : x
  2. Step 2: Convert to fraction form
    424,197.12/585,392.32 = 233,213.76/x
  3. Step 3: Cross multiply
    424,197.12x = 585,392.32 × 233,213.76
  4. Step 4: Simplify right side
    424,197.12x = 136,521,544,022.32
  5. Step 5: Solve for x
    x = 136,521,544,022.32/424,197.12
  6. Step 6: Final answer
    x = 321,835.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.