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Finding the Fourth Proportional to 551,449.10, 827,173.65 and 314,815.70

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Solution

The fourth proportional to 551,449.10, 827,173.65 and 314,815.70 is: 472,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,449.10 : 827,173.65 = 314,815.70 : x
  2. Step 2: Convert to fraction form
    551,449.10/827,173.65 = 314,815.70/x
  3. Step 3: Cross multiply
    551,449.10x = 827,173.65 × 314,815.70
  4. Step 4: Simplify right side
    551,449.10x = 260,407,251,646.31
  5. Step 5: Solve for x
    x = 260,407,251,646.31/551,449.10
  6. Step 6: Final answer
    x = 472,223.55

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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.