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Finding the Fourth Proportional to 392,594.41, 541,642.32 and 256,707.90

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Solution

The fourth proportional to 392,594.41, 541,642.32 and 256,707.90 is: 354,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,594.41 : 541,642.32 = 256,707.90 : x
  2. Step 2: Convert to fraction form
    392,594.41/541,642.32 = 256,707.90/x
  3. Step 3: Cross multiply
    392,594.41x = 541,642.32 × 256,707.90
  4. Step 4: Simplify right side
    392,594.41x = 139,043,862,518.33
  5. Step 5: Solve for x
    x = 139,043,862,518.33/392,594.41
  6. Step 6: Final answer
    x = 354,166.69

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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.