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Finding the Fourth Proportional to 441,639.48, 662,459.34 and 142,143.50

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Solution

The fourth proportional to 441,639.48, 662,459.34 and 142,143.50 is: 213,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,639.48 : 662,459.34 = 142,143.50 : x
  2. Step 2: Convert to fraction form
    441,639.48/662,459.34 = 142,143.50/x
  3. Step 3: Cross multiply
    441,639.48x = 662,459.34 × 142,143.50
  4. Step 4: Simplify right side
    441,639.48x = 94,164,289,195.29
  5. Step 5: Solve for x
    x = 94,164,289,195.29/441,639.48
  6. Step 6: Final answer
    x = 213,215.29

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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.