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Finding the Fourth Proportional to 562,166.38, 843,194.89 and 309,363.76

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Solution

The fourth proportional to 562,166.38, 843,194.89 and 309,363.76 is: 464,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,166.38 : 843,194.89 = 309,363.76 : x
  2. Step 2: Convert to fraction form
    562,166.38/843,194.89 = 309,363.76/x
  3. Step 3: Cross multiply
    562,166.38x = 843,194.89 × 309,363.76
  4. Step 4: Simplify right side
    562,166.38x = 260,853,941,583.19
  5. Step 5: Solve for x
    x = 260,853,941,583.19/562,166.38
  6. Step 6: Final answer
    x = 464,015.55

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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.