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Finding the Fourth Proportional to 301,704, 452,614.26 and 114,700.92

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Solution

The fourth proportional to 301,704, 452,614.26 and 114,700.92 is: 172,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,704 : 452,614.26 = 114,700.92 : x
  2. Step 2: Convert to fraction form
    301,704/452,614.26 = 114,700.92/x
  3. Step 3: Cross multiply
    301,704x = 452,614.26 × 114,700.92
  4. Step 4: Simplify right side
    301,704x = 51,915,272,027.12
  5. Step 5: Solve for x
    x = 51,915,272,027.12/301,704
  6. Step 6: Final answer
    x = 172,073.53

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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.