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Finding the Fourth Proportional to 382,713.16, 574,099.08 and 116,496.40

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Solution

The fourth proportional to 382,713.16, 574,099.08 and 116,496.40 is: 174,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,713.16 : 574,099.08 = 116,496.40 : x
  2. Step 2: Convert to fraction form
    382,713.16/574,099.08 = 116,496.40/x
  3. Step 3: Cross multiply
    382,713.16x = 574,099.08 × 116,496.40
  4. Step 4: Simplify right side
    382,713.16x = 66,880,476,063.31
  5. Step 5: Solve for x
    x = 66,880,476,063.31/382,713.16
  6. Step 6: Final answer
    x = 174,753.53

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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.