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Finding the Fourth Proportional to 382,280.16, 573,099.48 and 169,013.64

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Solution

The fourth proportional to 382,280.16, 573,099.48 and 169,013.64 is: 253,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,280.16 : 573,099.48 = 169,013.64 : x
  2. Step 2: Convert to fraction form
    382,280.16/573,099.48 = 169,013.64/x
  3. Step 3: Cross multiply
    382,280.16x = 573,099.48 × 169,013.64
  4. Step 4: Simplify right side
    382,280.16x = 96,861,629,196.91
  5. Step 5: Solve for x
    x = 96,861,629,196.91/382,280.16
  6. Step 6: Final answer
    x = 253,378.65

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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.