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Finding the Fourth Proportional to 450,043.92, 675,398.07 and 213,387.48

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Solution

The fourth proportional to 450,043.92, 675,398.07 and 213,387.48 is: 320,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,043.92 : 675,398.07 = 213,387.48 : x
  2. Step 2: Convert to fraction form
    450,043.92/675,398.07 = 213,387.48/x
  3. Step 3: Cross multiply
    450,043.92x = 675,398.07 × 213,387.48
  4. Step 4: Simplify right side
    450,043.92x = 144,121,492,154.16
  5. Step 5: Solve for x
    x = 144,121,492,154.16/450,043.92
  6. Step 6: Final answer
    x = 320,238.73

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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.