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Finding the Fourth Proportional to 406,166.88, 609,235.20 and 106,644.72

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Solution

The fourth proportional to 406,166.88, 609,235.20 and 106,644.72 is: 159,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,166.88 : 609,235.20 = 106,644.72 : x
  2. Step 2: Convert to fraction form
    406,166.88/609,235.20 = 106,644.72/x
  3. Step 3: Cross multiply
    406,166.88x = 609,235.20 × 106,644.72
  4. Step 4: Simplify right side
    406,166.88x = 64,971,717,318.14
  5. Step 5: Solve for x
    x = 64,971,717,318.14/406,166.88
  6. Step 6: Final answer
    x = 159,963.11

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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.