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Finding the Fourth Proportional to 682,822, 942,294.45 and 376,898.49

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Solution

The fourth proportional to 682,822, 942,294.45 and 376,898.49 is: 520,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,822 : 942,294.45 = 376,898.49 : x
  2. Step 2: Convert to fraction form
    682,822/942,294.45 = 376,898.49/x
  3. Step 3: Cross multiply
    682,822x = 942,294.45 × 376,898.49
  4. Step 4: Simplify right side
    682,822x = 355,149,348,744.42
  5. Step 5: Solve for x
    x = 355,149,348,744.42/682,822
  6. Step 6: Final answer
    x = 520,119.96

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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.