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Finding the Fourth Proportional to 514,635.53, 771,983.53 and 199,094.09

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Solution

The fourth proportional to 514,635.53, 771,983.53 and 199,094.09 is: 298,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,635.53 : 771,983.53 = 199,094.09 : x
  2. Step 2: Convert to fraction form
    514,635.53/771,983.53 = 199,094.09/x
  3. Step 3: Cross multiply
    514,635.53x = 771,983.53 × 199,094.09
  4. Step 4: Simplify right side
    514,635.53x = 153,697,354,042.69
  5. Step 5: Solve for x
    x = 153,697,354,042.69/514,635.53
  6. Step 6: Final answer
    x = 298,652.83

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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.