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Finding the Fourth Proportional to 406,442.44, 609,871.83 and 193,451.32

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Solution

The fourth proportional to 406,442.44, 609,871.83 and 193,451.32 is: 290,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,442.44 : 609,871.83 = 193,451.32 : x
  2. Step 2: Convert to fraction form
    406,442.44/609,871.83 = 193,451.32/x
  3. Step 3: Cross multiply
    406,442.44x = 609,871.83 × 193,451.32
  4. Step 4: Simplify right side
    406,442.44x = 117,980,510,544.32
  5. Step 5: Solve for x
    x = 117,980,510,544.32/406,442.44
  6. Step 6: Final answer
    x = 290,276.06

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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.