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Finding the Fourth Proportional to 566,296.86, 781,473.96 and 321,326.22

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Solution

The fourth proportional to 566,296.86, 781,473.96 and 321,326.22 is: 443,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,296.86 : 781,473.96 = 321,326.22 : x
  2. Step 2: Convert to fraction form
    566,296.86/781,473.96 = 321,326.22/x
  3. Step 3: Cross multiply
    566,296.86x = 781,473.96 × 321,326.22
  4. Step 4: Simplify right side
    566,296.86x = 251,108,073,595.23
  5. Step 5: Solve for x
    x = 251,108,073,595.23/566,296.86
  6. Step 6: Final answer
    x = 443,421.27

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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.