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Finding the Fourth Proportional to 551,446.10, 827,169.15 and 314,812.70

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Solution

The fourth proportional to 551,446.10, 827,169.15 and 314,812.70 is: 472,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,446.10 : 827,169.15 = 314,812.70 : x
  2. Step 2: Convert to fraction form
    551,446.10/827,169.15 = 314,812.70/x
  3. Step 3: Cross multiply
    551,446.10x = 827,169.15 × 314,812.70
  4. Step 4: Simplify right side
    551,446.10x = 260,403,353,468.21
  5. Step 5: Solve for x
    x = 260,403,353,468.21/551,446.10
  6. Step 6: Final answer
    x = 472,219.05

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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.