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Finding the Fourth Proportional to 515,357.40, 773,023.44 and 199,814.41

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Solution

The fourth proportional to 515,357.40, 773,023.44 and 199,814.41 is: 299,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,357.40 : 773,023.44 = 199,814.41 : x
  2. Step 2: Convert to fraction form
    515,357.40/773,023.44 = 199,814.41/x
  3. Step 3: Cross multiply
    515,357.40x = 773,023.44 × 199,814.41
  4. Step 4: Simplify right side
    515,357.40x = 154,461,218,714.65
  5. Step 5: Solve for x
    x = 154,461,218,714.65/515,357.40
  6. Step 6: Final answer
    x = 299,716.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.