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Finding the Fourth Proportional to 459,451.60, 687,233.40 and 412,406.80

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Solution

The fourth proportional to 459,451.60, 687,233.40 and 412,406.80 is: 616,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,451.60 : 687,233.40 = 412,406.80 : x
  2. Step 2: Convert to fraction form
    459,451.60/687,233.40 = 412,406.80/x
  3. Step 3: Cross multiply
    459,451.60x = 687,233.40 × 412,406.80
  4. Step 4: Simplify right side
    459,451.60x = 283,419,727,347.12
  5. Step 5: Solve for x
    x = 283,419,727,347.12/459,451.60
  6. Step 6: Final answer
    x = 616,865.25

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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.