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Finding the Fourth Proportional to 406,026.60, 609,039.90 and 110,538.60

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Solution

The fourth proportional to 406,026.60, 609,039.90 and 110,538.60 is: 165,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,026.60 : 609,039.90 = 110,538.60 : x
  2. Step 2: Convert to fraction form
    406,026.60/609,039.90 = 110,538.60/x
  3. Step 3: Cross multiply
    406,026.60x = 609,039.90 × 110,538.60
  4. Step 4: Simplify right side
    406,026.60x = 67,322,417,890.14
  5. Step 5: Solve for x
    x = 67,322,417,890.14/406,026.60
  6. Step 6: Final answer
    x = 165,807.90

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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.