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Finding the Fourth Proportional to 322,411.77, 444,892.92 and 186,425.14

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Solution

The fourth proportional to 322,411.77, 444,892.92 and 186,425.14 is: 257,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,411.77 : 444,892.92 = 186,425.14 : x
  2. Step 2: Convert to fraction form
    322,411.77/444,892.92 = 186,425.14/x
  3. Step 3: Cross multiply
    322,411.77x = 444,892.92 × 186,425.14
  4. Step 4: Simplify right side
    322,411.77x = 82,939,223,918.86
  5. Step 5: Solve for x
    x = 82,939,223,918.86/322,411.77
  6. Step 6: Final answer
    x = 257,246.27

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1.5x scale

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.