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Finding the Fourth Proportional to 284,548.41, 392,220.63 and 192,638.70

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Solution

The fourth proportional to 284,548.41, 392,220.63 and 192,638.70 is: 265,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,548.41 : 392,220.63 = 192,638.70 : x
  2. Step 2: Convert to fraction form
    284,548.41/392,220.63 = 192,638.70/x
  3. Step 3: Cross multiply
    284,548.41x = 392,220.63 × 192,638.70
  4. Step 4: Simplify right side
    284,548.41x = 75,556,872,276.38
  5. Step 5: Solve for x
    x = 75,556,872,276.38/284,548.41
  6. Step 6: Final answer
    x = 265,532.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.