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Finding the Fourth Proportional to 531,714.78, 797,338.89 and 199,057.50

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Solution

The fourth proportional to 531,714.78, 797,338.89 and 199,057.50 is: 298,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,714.78 : 797,338.89 = 199,057.50 : x
  2. Step 2: Convert to fraction form
    531,714.78/797,338.89 = 199,057.50/x
  3. Step 3: Cross multiply
    531,714.78x = 797,338.89 × 199,057.50
  4. Step 4: Simplify right side
    531,714.78x = 158,716,286,096.18
  5. Step 5: Solve for x
    x = 158,716,286,096.18/531,714.78
  6. Step 6: Final answer
    x = 298,498.92

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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.