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Finding the Fourth Proportional to 322,746.48, 445,358.94 and 186,753.30

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Solution

The fourth proportional to 322,746.48, 445,358.94 and 186,753.30 is: 257,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,746.48 : 445,358.94 = 186,753.30 : x
  2. Step 2: Convert to fraction form
    322,746.48/445,358.94 = 186,753.30/x
  3. Step 3: Cross multiply
    322,746.48x = 445,358.94 × 186,753.30
  4. Step 4: Simplify right side
    322,746.48x = 83,172,251,729.50
  5. Step 5: Solve for x
    x = 83,172,251,729.50/322,746.48
  6. Step 6: Final answer
    x = 257,701.50

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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.