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Finding the Fourth Proportional to 384,222.80, 576,361.88 and 147,565.49

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Solution

The fourth proportional to 384,222.80, 576,361.88 and 147,565.49 is: 221,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,222.80 : 576,361.88 = 147,565.49 : x
  2. Step 2: Convert to fraction form
    384,222.80/576,361.88 = 147,565.49/x
  3. Step 3: Cross multiply
    384,222.80x = 576,361.88 × 147,565.49
  4. Step 4: Simplify right side
    384,222.80x = 85,051,119,619.88
  5. Step 5: Solve for x
    x = 85,051,119,619.88/384,222.80
  6. Step 6: Final answer
    x = 221,358.86

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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.