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Finding the Fourth Proportional to 424,594.12, 585,940.86 and 233,619.80

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Solution

The fourth proportional to 424,594.12, 585,940.86 and 233,619.80 is: 322,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,594.12 : 585,940.86 = 233,619.80 : x
  2. Step 2: Convert to fraction form
    424,594.12/585,940.86 = 233,619.80/x
  3. Step 3: Cross multiply
    424,594.12x = 585,940.86 × 233,619.80
  4. Step 4: Simplify right side
    424,594.12x = 136,887,386,525.03
  5. Step 5: Solve for x
    x = 136,887,386,525.03/424,594.12
  6. Step 6: Final answer
    x = 322,395.86

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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.