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Finding the Fourth Proportional to 386,778.02, 533,777.19 and 257,493.38

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Solution

The fourth proportional to 386,778.02, 533,777.19 and 257,493.38 is: 355,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,778.02 : 533,777.19 = 257,493.38 : x
  2. Step 2: Convert to fraction form
    386,778.02/533,777.19 = 257,493.38/x
  3. Step 3: Cross multiply
    386,778.02x = 533,777.19 × 257,493.38
  4. Step 4: Simplify right side
    386,778.02x = 137,444,092,820.00
  5. Step 5: Solve for x
    x = 137,444,092,820.00/386,778.02
  6. Step 6: Final answer
    x = 355,356.52

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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.