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Finding the Fourth Proportional to 256,403.85, 384,606.05 and 66,864.08

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Solution

The fourth proportional to 256,403.85, 384,606.05 and 66,864.08 is: 100,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403.85 : 384,606.05 = 66,864.08 : x
  2. Step 2: Convert to fraction form
    256,403.85/384,606.05 = 66,864.08/x
  3. Step 3: Cross multiply
    256,403.85x = 384,606.05 × 66,864.08
  4. Step 4: Simplify right side
    256,403.85x = 25,716,327,438.33
  5. Step 5: Solve for x
    x = 25,716,327,438.33/256,403.85
  6. Step 6: Final answer
    x = 100,296.18

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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.