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Finding the Fourth Proportional to 424,192.16, 585,390.69 and 233,203.88

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Solution

The fourth proportional to 424,192.16, 585,390.69 and 233,203.88 is: 321,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,192.16 : 585,390.69 = 233,203.88 : x
  2. Step 2: Convert to fraction form
    424,192.16/585,390.69 = 233,203.88/x
  3. Step 3: Cross multiply
    424,192.16x = 585,390.69 × 233,203.88
  4. Step 4: Simplify right side
    424,192.16x = 136,515,380,223.88
  5. Step 5: Solve for x
    x = 136,515,380,223.88/424,192.16
  6. Step 6: Final answer
    x = 321,824.38

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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.