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Finding the Fourth Proportional to 257,376.96, 384,305.04 and 230,549.76

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Solution

The fourth proportional to 257,376.96, 384,305.04 and 230,549.76 is: 344,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,376.96 : 384,305.04 = 230,549.76 : x
  2. Step 2: Convert to fraction form
    257,376.96/384,305.04 = 230,549.76/x
  3. Step 3: Cross multiply
    257,376.96x = 384,305.04 × 230,549.76
  4. Step 4: Simplify right side
    257,376.96x = 88,601,434,738.79
  5. Step 5: Solve for x
    x = 88,601,434,738.79/257,376.96
  6. Step 6: Final answer
    x = 344,247.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.