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Finding the Fourth Proportional to 613,252.26, 920,031.47 and 213,898.77

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Solution

The fourth proportional to 613,252.26, 920,031.47 and 213,898.77 is: 320,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,252.26 : 920,031.47 = 213,898.77 : x
  2. Step 2: Convert to fraction form
    613,252.26/920,031.47 = 213,898.77/x
  3. Step 3: Cross multiply
    613,252.26x = 920,031.47 × 213,898.77
  4. Step 4: Simplify right side
    613,252.26x = 196,793,599,794.29
  5. Step 5: Solve for x
    x = 196,793,599,794.29/613,252.26
  6. Step 6: Final answer
    x = 320,901.55

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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.