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Finding the Fourth Proportional to 585,734.68, 808,022.55 and 394,415.92

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Solution

The fourth proportional to 585,734.68, 808,022.55 and 394,415.92 is: 544,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,734.68 : 808,022.55 = 394,415.92 : x
  2. Step 2: Convert to fraction form
    585,734.68/808,022.55 = 394,415.92/x
  3. Step 3: Cross multiply
    585,734.68x = 808,022.55 × 394,415.92
  4. Step 4: Simplify right side
    585,734.68x = 318,696,957,439.00
  5. Step 5: Solve for x
    x = 318,696,957,439.00/585,734.68
  6. Step 6: Final answer
    x = 544,097.81

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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.