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Finding the Fourth Proportional to 475,194.39, 655,762.82 and 257,398.95

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Solution

The fourth proportional to 475,194.39, 655,762.82 and 257,398.95 is: 355,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,194.39 : 655,762.82 = 257,398.95 : x
  2. Step 2: Convert to fraction form
    475,194.39/655,762.82 = 257,398.95/x
  3. Step 3: Cross multiply
    475,194.39x = 655,762.82 × 257,398.95
  4. Step 4: Simplify right side
    475,194.39x = 168,792,661,317.04
  5. Step 5: Solve for x
    x = 168,792,661,317.04/475,194.39
  6. Step 6: Final answer
    x = 355,207.61

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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.