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Finding the Fourth Proportional to 377,408.94, 566,113.41 and 96,926.46

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Solution

The fourth proportional to 377,408.94, 566,113.41 and 96,926.46 is: 145,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,408.94 : 566,113.41 = 96,926.46 : x
  2. Step 2: Convert to fraction form
    377,408.94/566,113.41 = 96,926.46/x
  3. Step 3: Cross multiply
    377,408.94x = 566,113.41 × 96,926.46
  4. Step 4: Simplify right side
    377,408.94x = 54,871,368,789.83
  5. Step 5: Solve for x
    x = 54,871,368,789.83/377,408.94
  6. Step 6: Final answer
    x = 145,389.69

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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.