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Finding the Fourth Proportional to 384,607.77, 576,912.06 and 100,298.07

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Solution

The fourth proportional to 384,607.77, 576,912.06 and 100,298.07 is: 150,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,607.77 : 576,912.06 = 100,298.07 : x
  2. Step 2: Convert to fraction form
    384,607.77/576,912.06 = 100,298.07/x
  3. Step 3: Cross multiply
    384,607.77x = 576,912.06 × 100,298.07
  4. Step 4: Simplify right side
    384,607.77x = 57,863,166,177.72
  5. Step 5: Solve for x
    x = 57,863,166,177.72/384,607.77
  6. Step 6: Final answer
    x = 150,447.21

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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.