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Finding the Fourth Proportional to 437,065.11, 654,481.98 and 348,447.87

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Solution

The fourth proportional to 437,065.11, 654,481.98 and 348,447.87 is: 521,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,065.11 : 654,481.98 = 348,447.87 : x
  2. Step 2: Convert to fraction form
    437,065.11/654,481.98 = 348,447.87/x
  3. Step 3: Cross multiply
    437,065.11x = 654,481.98 × 348,447.87
  4. Step 4: Simplify right side
    437,065.11x = 228,052,851,884.38
  5. Step 5: Solve for x
    x = 228,052,851,884.38/437,065.11
  6. Step 6: Final answer
    x = 521,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.