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Finding the Fourth Proportional to 551,476.60, 827,214.90 and 314,843.20

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Solution

The fourth proportional to 551,476.60, 827,214.90 and 314,843.20 is: 472,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,476.60 : 827,214.90 = 314,843.20 : x
  2. Step 2: Convert to fraction form
    551,476.60/827,214.90 = 314,843.20/x
  3. Step 3: Cross multiply
    551,476.60x = 827,214.90 × 314,843.20
  4. Step 4: Simplify right side
    551,476.60x = 260,442,986,203.68
  5. Step 5: Solve for x
    x = 260,442,986,203.68/551,476.60
  6. Step 6: Final answer
    x = 472,264.80

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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.