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Finding the Fourth Proportional to 424,146.68, 585,323.06 and 233,161.24

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Solution

The fourth proportional to 424,146.68, 585,323.06 and 233,161.24 is: 321,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,146.68 : 585,323.06 = 233,161.24 : x
  2. Step 2: Convert to fraction form
    424,146.68/585,323.06 = 233,161.24/x
  3. Step 3: Cross multiply
    424,146.68x = 585,323.06 × 233,161.24
  4. Step 4: Simplify right side
    424,146.68x = 136,474,650,470.19
  5. Step 5: Solve for x
    x = 136,474,650,470.19/424,146.68
  6. Step 6: Final answer
    x = 321,762.86

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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.