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Finding the Fourth Proportional to 709,023.96, 978,814.26 and 547,516.44

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Solution

The fourth proportional to 709,023.96, 978,814.26 and 547,516.44 is: 755,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,023.96 : 978,814.26 = 547,516.44 : x
  2. Step 2: Convert to fraction form
    709,023.96/978,814.26 = 547,516.44/x
  3. Step 3: Cross multiply
    709,023.96x = 978,814.26 × 547,516.44
  4. Step 4: Simplify right side
    709,023.96x = 535,916,899,056.43
  5. Step 5: Solve for x
    x = 535,916,899,056.43/709,023.96
  6. Step 6: Final answer
    x = 755,851.61

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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.