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Finding the Fourth Proportional to 256,456.68, 384,341.14 and 199,599.26

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Solution

The fourth proportional to 256,456.68, 384,341.14 and 199,599.26 is: 299,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,456.68 : 384,341.14 = 199,599.26 : x
  2. Step 2: Convert to fraction form
    256,456.68/384,341.14 = 199,599.26/x
  3. Step 3: Cross multiply
    256,456.68x = 384,341.14 × 199,599.26
  4. Step 4: Simplify right side
    256,456.68x = 76,714,207,131.56
  5. Step 5: Solve for x
    x = 76,714,207,131.56/256,456.68
  6. Step 6: Final answer
    x = 299,131.25

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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.