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Finding the Fourth Proportional to 513,073.48, 769,814.34 and 197,445.64

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Solution

The fourth proportional to 513,073.48, 769,814.34 and 197,445.64 is: 296,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,073.48 : 769,814.34 = 197,445.64 : x
  2. Step 2: Convert to fraction form
    513,073.48/769,814.34 = 197,445.64/x
  3. Step 3: Cross multiply
    513,073.48x = 769,814.34 × 197,445.64
  4. Step 4: Simplify right side
    513,073.48x = 151,996,485,042.48
  5. Step 5: Solve for x
    x = 151,996,485,042.48/513,073.48
  6. Step 6: Final answer
    x = 296,247.01

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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.