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Finding the Fourth Proportional to 282,334.50, 423,489.60 and 71,966.16

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Solution

The fourth proportional to 282,334.50, 423,489.60 and 71,966.16 is: 107,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,334.50 : 423,489.60 = 71,966.16 : x
  2. Step 2: Convert to fraction form
    282,334.50/423,489.60 = 71,966.16/x
  3. Step 3: Cross multiply
    282,334.50x = 423,489.60 × 71,966.16
  4. Step 4: Simplify right side
    282,334.50x = 30,476,920,311.94
  5. Step 5: Solve for x
    x = 30,476,920,311.94/282,334.50
  6. Step 6: Final answer
    x = 107,946.14

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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.