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Finding the Fourth Proportional to 512,049.64, 706,638.18 and 297,207.40

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Solution

The fourth proportional to 512,049.64, 706,638.18 and 297,207.40 is: 410,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,049.64 : 706,638.18 = 297,207.40 : x
  2. Step 2: Convert to fraction form
    512,049.64/706,638.18 = 297,207.40/x
  3. Step 3: Cross multiply
    512,049.64x = 706,638.18 × 297,207.40
  4. Step 4: Simplify right side
    512,049.64x = 210,018,096,218.53
  5. Step 5: Solve for x
    x = 210,018,096,218.53/512,049.64
  6. Step 6: Final answer
    x = 410,151.83

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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.