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Finding the Fourth Proportional to 307,053.45, 423,909.59 and 205,251.32

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Solution

The fourth proportional to 307,053.45, 423,909.59 and 205,251.32 is: 283,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,053.45 : 423,909.59 = 205,251.32 : x
  2. Step 2: Convert to fraction form
    307,053.45/423,909.59 = 205,251.32/x
  3. Step 3: Cross multiply
    307,053.45x = 423,909.59 × 205,251.32
  4. Step 4: Simplify right side
    307,053.45x = 87,008,002,941.68
  5. Step 5: Solve for x
    x = 87,008,002,941.68/307,053.45
  6. Step 6: Final answer
    x = 283,364.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.