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Finding the Fourth Proportional to 233,430.36, 322,282.87 and 190,512.38

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Solution

The fourth proportional to 233,430.36, 322,282.87 and 190,512.38 is: 263,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,430.36 : 322,282.87 = 190,512.38 : x
  2. Step 2: Convert to fraction form
    233,430.36/322,282.87 = 190,512.38/x
  3. Step 3: Cross multiply
    233,430.36x = 322,282.87 × 190,512.38
  4. Step 4: Simplify right side
    233,430.36x = 61,398,874,985.52
  5. Step 5: Solve for x
    x = 61,398,874,985.52/233,430.36
  6. Step 6: Final answer
    x = 263,028.66

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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.