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Finding the Fourth Proportional to 508,467.60, 762,402.24 and 192,946.64

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Solution

The fourth proportional to 508,467.60, 762,402.24 and 192,946.64 is: 289,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,467.60 : 762,402.24 = 192,946.64 : x
  2. Step 2: Convert to fraction form
    508,467.60/762,402.24 = 192,946.64/x
  3. Step 3: Cross multiply
    508,467.60x = 762,402.24 × 192,946.64
  4. Step 4: Simplify right side
    508,467.60x = 147,102,950,536.47
  5. Step 5: Solve for x
    x = 147,102,950,536.47/508,467.60
  6. Step 6: Final answer
    x = 289,306.44

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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.