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Finding the Fourth Proportional to 424,308.78, 585,561.15 and 233,336.70

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Solution

The fourth proportional to 424,308.78, 585,561.15 and 233,336.70 is: 322,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,308.78 : 585,561.15 = 233,336.70 : x
  2. Step 2: Convert to fraction form
    424,308.78/585,561.15 = 233,336.70/x
  3. Step 3: Cross multiply
    424,308.78x = 585,561.15 × 233,336.70
  4. Step 4: Simplify right side
    424,308.78x = 136,632,906,389.21
  5. Step 5: Solve for x
    x = 136,632,906,389.21/424,308.78
  6. Step 6: Final answer
    x = 322,012.91

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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.