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Finding the Fourth Proportional to 377,414.94, 566,122.41 and 96,932.46

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Solution

The fourth proportional to 377,414.94, 566,122.41 and 96,932.46 is: 145,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,414.94 : 566,122.41 = 96,932.46 : x
  2. Step 2: Convert to fraction form
    377,414.94/566,122.41 = 96,932.46/x
  3. Step 3: Cross multiply
    377,414.94x = 566,122.41 × 96,932.46
  4. Step 4: Simplify right side
    377,414.94x = 54,875,637,862.43
  5. Step 5: Solve for x
    x = 54,875,637,862.43/377,414.94
  6. Step 6: Final answer
    x = 145,398.69

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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.