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Finding the Fourth Proportional to 406,592.87, 609,919.23 and 107,071.34

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Solution

The fourth proportional to 406,592.87, 609,919.23 and 107,071.34 is: 160,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,592.87 : 609,919.23 = 107,071.34 : x
  2. Step 2: Convert to fraction form
    406,592.87/609,919.23 = 107,071.34/x
  3. Step 3: Cross multiply
    406,592.87x = 609,919.23 × 107,071.34
  4. Step 4: Simplify right side
    406,592.87x = 65,304,871,174.18
  5. Step 5: Solve for x
    x = 65,304,871,174.18/406,592.87
  6. Step 6: Final answer
    x = 160,614.89

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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.