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Finding the Fourth Proportional to 512,056.82, 706,904.20 and 374,080.92

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Solution

The fourth proportional to 512,056.82, 706,904.20 and 374,080.92 is: 516,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,056.82 : 706,904.20 = 374,080.92 : x
  2. Step 2: Convert to fraction form
    512,056.82/706,904.20 = 374,080.92/x
  3. Step 3: Cross multiply
    512,056.82x = 706,904.20 × 374,080.92
  4. Step 4: Simplify right side
    512,056.82x = 264,439,373,487.86
  5. Step 5: Solve for x
    x = 264,439,373,487.86/512,056.82
  6. Step 6: Final answer
    x = 516,425.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.