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Finding the Fourth Proportional to 406,052.60, 609,117.30 and 110,564.60

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Solution

The fourth proportional to 406,052.60, 609,117.30 and 110,564.60 is: 165,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,052.60 : 609,117.30 = 110,564.60 : x
  2. Step 2: Convert to fraction form
    406,052.60/609,117.30 = 110,564.60/x
  3. Step 3: Cross multiply
    406,052.60x = 609,117.30 × 110,564.60
  4. Step 4: Simplify right side
    406,052.60x = 67,346,810,627.58
  5. Step 5: Solve for x
    x = 67,346,810,627.58/406,052.60
  6. Step 6: Final answer
    x = 165,857.36

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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.