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Finding the Fourth Proportional to 384,225.11, 576,365.34 and 147,567.78

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Solution

The fourth proportional to 384,225.11, 576,365.34 and 147,567.78 is: 221,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,225.11 : 576,365.34 = 147,567.78 : x
  2. Step 2: Convert to fraction form
    384,225.11/576,365.34 = 147,567.78/x
  3. Step 3: Cross multiply
    384,225.11x = 576,365.34 × 147,567.78
  4. Step 4: Simplify right side
    384,225.11x = 85,052,953,692.75
  5. Step 5: Solve for x
    x = 85,052,953,692.75/384,225.11
  6. Step 6: Final answer
    x = 221,362.30

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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.