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Finding the Fourth Proportional to 407,499.60, 611,249.40 and 257,908.80

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Solution

The fourth proportional to 407,499.60, 611,249.40 and 257,908.80 is: 386,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,499.60 : 611,249.40 = 257,908.80 : x
  2. Step 2: Convert to fraction form
    407,499.60/611,249.40 = 257,908.80/x
  3. Step 3: Cross multiply
    407,499.60x = 611,249.40 × 257,908.80
  4. Step 4: Simplify right side
    407,499.60x = 157,646,599,254.72
  5. Step 5: Solve for x
    x = 157,646,599,254.72/407,499.60
  6. Step 6: Final answer
    x = 386,863.20

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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.