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Finding the Fourth Proportional to 424,452.95, 585,732.84 and 233,466.33

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Solution

The fourth proportional to 424,452.95, 585,732.84 and 233,466.33 is: 322,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,452.95 : 585,732.84 = 233,466.33 : x
  2. Step 2: Convert to fraction form
    424,452.95/585,732.84 = 233,466.33/x
  3. Step 3: Cross multiply
    424,452.95x = 585,732.84 × 233,466.33
  4. Step 4: Simplify right side
    424,452.95x = 136,748,896,515.28
  5. Step 5: Solve for x
    x = 136,748,896,515.28/424,452.95
  6. Step 6: Final answer
    x = 322,176.81

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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.