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Finding the Fourth Proportional to 284,884.38, 427,472.37 and 116,529.12

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Solution

The fourth proportional to 284,884.38, 427,472.37 and 116,529.12 is: 174,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,884.38 : 427,472.37 = 116,529.12 : x
  2. Step 2: Convert to fraction form
    284,884.38/427,472.37 = 116,529.12/x
  3. Step 3: Cross multiply
    284,884.38x = 427,472.37 × 116,529.12
  4. Step 4: Simplify right side
    284,884.38x = 49,812,979,100.41
  5. Step 5: Solve for x
    x = 49,812,979,100.41/284,884.38
  6. Step 6: Final answer
    x = 174,853.32

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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.