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Finding the Fourth Proportional to 562,042.41, 775,599.28 and 320,402.80

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Solution

The fourth proportional to 562,042.41, 775,599.28 and 320,402.80 is: 442,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,042.41 : 775,599.28 = 320,402.80 : x
  2. Step 2: Convert to fraction form
    562,042.41/775,599.28 = 320,402.80/x
  3. Step 3: Cross multiply
    562,042.41x = 775,599.28 × 320,402.80
  4. Step 4: Simplify right side
    562,042.41x = 248,504,180,989.98
  5. Step 5: Solve for x
    x = 248,504,180,989.98/562,042.41
  6. Step 6: Final answer
    x = 442,144.89

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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.