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Finding the Fourth Proportional to 512,122.02, 706,994.10 and 374,146.20

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Solution

The fourth proportional to 512,122.02, 706,994.10 and 374,146.20 is: 516,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,122.02 : 706,994.10 = 374,146.20 : x
  2. Step 2: Convert to fraction form
    512,122.02/706,994.10 = 374,146.20/x
  3. Step 3: Cross multiply
    512,122.02x = 706,994.10 × 374,146.20
  4. Step 4: Simplify right side
    512,122.02x = 264,519,155,937.42
  5. Step 5: Solve for x
    x = 264,519,155,937.42/512,122.02
  6. Step 6: Final answer
    x = 516,515.88

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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.