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Finding the Fourth Proportional to 406,607.92, 609,865.74 and 107,111.92

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Solution

The fourth proportional to 406,607.92, 609,865.74 and 107,111.92 is: 160,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,607.92 : 609,865.74 = 107,111.92 : x
  2. Step 2: Convert to fraction form
    406,607.92/609,865.74 = 107,111.92/x
  3. Step 3: Cross multiply
    406,607.92x = 609,865.74 × 107,111.92
  4. Step 4: Simplify right side
    406,607.92x = 65,323,890,353.62
  5. Step 5: Solve for x
    x = 65,323,890,353.62/406,607.92
  6. Step 6: Final answer
    x = 160,655.73

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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.