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Finding the Fourth Proportional to 284,123.20, 426,184.80 and 165,733.60

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Solution

The fourth proportional to 284,123.20, 426,184.80 and 165,733.60 is: 248,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,123.20 : 426,184.80 = 165,733.60 : x
  2. Step 2: Convert to fraction form
    284,123.20/426,184.80 = 165,733.60/x
  3. Step 3: Cross multiply
    284,123.20x = 426,184.80 × 165,733.60
  4. Step 4: Simplify right side
    284,123.20x = 70,633,141,169.28
  5. Step 5: Solve for x
    x = 70,633,141,169.28/284,123.20
  6. Step 6: Final answer
    x = 248,600.40

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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.