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Finding the Fourth Proportional to 406,586.36, 609,909.50 and 107,064.86

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Solution

The fourth proportional to 406,586.36, 609,909.50 and 107,064.86 is: 160,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,586.36 : 609,909.50 = 107,064.86 : x
  2. Step 2: Convert to fraction form
    406,586.36/609,909.50 = 107,064.86/x
  3. Step 3: Cross multiply
    406,586.36x = 609,909.50 × 107,064.86
  4. Step 4: Simplify right side
    406,586.36x = 65,299,875,230.17
  5. Step 5: Solve for x
    x = 65,299,875,230.17/406,586.36
  6. Step 6: Final answer
    x = 160,605.18

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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.