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Finding the Fourth Proportional to 256,402.72, 384,604.32 and 66,862.92

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Solution

The fourth proportional to 256,402.72, 384,604.32 and 66,862.92 is: 100,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,402.72 : 384,604.32 = 66,862.92 : x
  2. Step 2: Convert to fraction form
    256,402.72/384,604.32 = 66,862.92/x
  3. Step 3: Cross multiply
    256,402.72x = 384,604.32 × 66,862.92
  4. Step 4: Simplify right side
    256,402.72x = 25,715,767,879.81
  5. Step 5: Solve for x
    x = 25,715,767,879.81/256,402.72
  6. Step 6: Final answer
    x = 100,294.44

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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.