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Finding the Fourth Proportional to 364,874.12, 503,249.20 and 313,972.15

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Solution

The fourth proportional to 364,874.12, 503,249.20 and 313,972.15 is: 433,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,874.12 : 503,249.20 = 313,972.15 : x
  2. Step 2: Convert to fraction form
    364,874.12/503,249.20 = 313,972.15/x
  3. Step 3: Cross multiply
    364,874.12x = 503,249.20 × 313,972.15
  4. Step 4: Simplify right side
    364,874.12x = 158,006,233,309.78
  5. Step 5: Solve for x
    x = 158,006,233,309.78/364,874.12
  6. Step 6: Final answer
    x = 433,043.14

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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.