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Finding the Fourth Proportional to 384,224.11, 576,363.84 and 147,566.78

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Solution

The fourth proportional to 384,224.11, 576,363.84 and 147,566.78 is: 221,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,224.11 : 576,363.84 = 147,566.78 : x
  2. Step 2: Convert to fraction form
    384,224.11/576,363.84 = 147,566.78/x
  3. Step 3: Cross multiply
    384,224.11x = 576,363.84 × 147,566.78
  4. Step 4: Simplify right side
    384,224.11x = 85,052,154,703.41
  5. Step 5: Solve for x
    x = 85,052,154,703.41/384,224.11
  6. Step 6: Final answer
    x = 221,360.80

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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.