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Finding the Fourth Proportional to 284,127.20, 426,190.80 and 165,737.60

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Solution

The fourth proportional to 284,127.20, 426,190.80 and 165,737.60 is: 248,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,127.20 : 426,190.80 = 165,737.60 : x
  2. Step 2: Convert to fraction form
    284,127.20/426,190.80 = 165,737.60/x
  3. Step 3: Cross multiply
    284,127.20x = 426,190.80 × 165,737.60
  4. Step 4: Simplify right side
    284,127.20x = 70,635,840,334.08
  5. Step 5: Solve for x
    x = 70,635,840,334.08/284,127.20
  6. Step 6: Final answer
    x = 248,606.40

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1.5x scale

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.