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Finding the Fourth Proportional to 512,139.65, 706,714.88 and 297,245.03

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Solution

The fourth proportional to 512,139.65, 706,714.88 and 297,245.03 is: 410,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,139.65 : 706,714.88 = 297,245.03 : x
  2. Step 2: Convert to fraction form
    512,139.65/706,714.88 = 297,245.03/x
  3. Step 3: Cross multiply
    512,139.65x = 706,714.88 × 297,245.03
  4. Step 4: Simplify right side
    512,139.65x = 210,067,480,687.25
  5. Step 5: Solve for x
    x = 210,067,480,687.25/512,139.65
  6. Step 6: Final answer
    x = 410,176.18

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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.