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Finding the Fourth Proportional to 284,099.44, 392,124.33 and 163,310.80

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Solution

The fourth proportional to 284,099.44, 392,124.33 and 163,310.80 is: 225,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.44 : 392,124.33 = 163,310.80 : x
  2. Step 2: Convert to fraction form
    284,099.44/392,124.33 = 163,310.80/x
  3. Step 3: Cross multiply
    284,099.44x = 392,124.33 × 163,310.80
  4. Step 4: Simplify right side
    284,099.44x = 64,038,138,031.76
  5. Step 5: Solve for x
    x = 64,038,138,031.76/284,099.44
  6. Step 6: Final answer
    x = 225,407.48

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1.5x scale

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.