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Finding the Fourth Proportional to 284,379.57, 392,464.47 and 163,558.76

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Solution

The fourth proportional to 284,379.57, 392,464.47 and 163,558.76 is: 225,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,379.57 : 392,464.47 = 163,558.76 : x
  2. Step 2: Convert to fraction form
    284,379.57/392,464.47 = 163,558.76/x
  3. Step 3: Cross multiply
    284,379.57x = 392,464.47 × 163,558.76
  4. Step 4: Simplify right side
    284,379.57x = 64,191,000,708.28
  5. Step 5: Solve for x
    x = 64,191,000,708.28/284,379.57
  6. Step 6: Final answer
    x = 225,722.97

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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.