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Finding the Fourth Proportional to 442,208.40, 663,442.74 and 142,683.36

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Solution

The fourth proportional to 442,208.40, 663,442.74 and 142,683.36 is: 214,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,208.40 : 663,442.74 = 142,683.36 : x
  2. Step 2: Convert to fraction form
    442,208.40/663,442.74 = 142,683.36/x
  3. Step 3: Cross multiply
    442,208.40x = 663,442.74 × 142,683.36
  4. Step 4: Simplify right side
    442,208.40x = 94,662,239,310.81
  5. Step 5: Solve for x
    x = 94,662,239,310.81/442,208.40
  6. Step 6: Final answer
    x = 214,067.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.