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Finding the Fourth Proportional to 424,321.32, 585,567.56 and 233,336

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Solution

The fourth proportional to 424,321.32, 585,567.56 and 233,336 is: 322,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,321.32 : 585,567.56 = 233,336 : x
  2. Step 2: Convert to fraction form
    424,321.32/585,567.56 = 233,336/x
  3. Step 3: Cross multiply
    424,321.32x = 585,567.56 × 233,336
  4. Step 4: Simplify right side
    424,321.32x = 136,633,992,180.16
  5. Step 5: Solve for x
    x = 136,633,992,180.16/424,321.32
  6. Step 6: Final answer
    x = 322,005.96

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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.