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Finding the Fourth Proportional to 424,319.31, 585,564.80 and 233,334

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Solution

The fourth proportional to 424,319.31, 585,564.80 and 233,334 is: 322,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,319.31 : 585,564.80 = 233,334 : x
  2. Step 2: Convert to fraction form
    424,319.31/585,564.80 = 233,334/x
  3. Step 3: Cross multiply
    424,319.31x = 585,564.80 × 233,334
  4. Step 4: Simplify right side
    424,319.31x = 136,632,175,876.53
  5. Step 5: Solve for x
    x = 136,632,175,876.53/424,319.31
  6. Step 6: Final answer
    x = 322,003.20

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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.