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Finding the Fourth Proportional to 406,584.45, 609,830.52 and 107,088.47

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Solution

The fourth proportional to 406,584.45, 609,830.52 and 107,088.47 is: 160,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,584.45 : 609,830.52 = 107,088.47 : x
  2. Step 2: Convert to fraction form
    406,584.45/609,830.52 = 107,088.47/x
  3. Step 3: Cross multiply
    406,584.45x = 609,830.52 × 107,088.47
  4. Step 4: Simplify right side
    406,584.45x = 65,305,814,296.95
  5. Step 5: Solve for x
    x = 65,305,814,296.95/406,584.45
  6. Step 6: Final answer
    x = 160,620.54

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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.