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Finding the Fourth Proportional to 614,201.94, 847,600.38 and 356,129.46

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Solution

The fourth proportional to 614,201.94, 847,600.38 and 356,129.46 is: 491,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,201.94 : 847,600.38 = 356,129.46 : x
  2. Step 2: Convert to fraction form
    614,201.94/847,600.38 = 356,129.46/x
  3. Step 3: Cross multiply
    614,201.94x = 847,600.38 × 356,129.46
  4. Step 4: Simplify right side
    614,201.94x = 301,855,465,625.20
  5. Step 5: Solve for x
    x = 301,855,465,625.20/614,201.94
  6. Step 6: Final answer
    x = 491,459.64

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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.