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Finding the Fourth Proportional to 413,318.34, 620,035.83 and 147,000.06

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Solution

The fourth proportional to 413,318.34, 620,035.83 and 147,000.06 is: 220,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,318.34 : 620,035.83 = 147,000.06 : x
  2. Step 2: Convert to fraction form
    413,318.34/620,035.83 = 147,000.06/x
  3. Step 3: Cross multiply
    413,318.34x = 620,035.83 × 147,000.06
  4. Step 4: Simplify right side
    413,318.34x = 91,145,304,212.15
  5. Step 5: Solve for x
    x = 91,145,304,212.15/413,318.34
  6. Step 6: Final answer
    x = 220,520.83

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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.