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Finding the Fourth Proportional to 447,103.02, 670,675.11 and 147,609.66

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Solution

The fourth proportional to 447,103.02, 670,675.11 and 147,609.66 is: 221,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,103.02 : 670,675.11 = 147,609.66 : x
  2. Step 2: Convert to fraction form
    447,103.02/670,675.11 = 147,609.66/x
  3. Step 3: Cross multiply
    447,103.02x = 670,675.11 × 147,609.66
  4. Step 4: Simplify right side
    447,103.02x = 98,998,124,957.56
  5. Step 5: Solve for x
    x = 98,998,124,957.56/447,103.02
  6. Step 6: Final answer
    x = 221,421.28

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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.