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Finding the Fourth Proportional to 551,504.60, 827,256.90 and 314,871.20

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Solution

The fourth proportional to 551,504.60, 827,256.90 and 314,871.20 is: 472,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,504.60 : 827,256.90 = 314,871.20 : x
  2. Step 2: Convert to fraction form
    551,504.60/827,256.90 = 314,871.20/x
  3. Step 3: Cross multiply
    551,504.60x = 827,256.90 × 314,871.20
  4. Step 4: Simplify right side
    551,504.60x = 260,479,372,811.28
  5. Step 5: Solve for x
    x = 260,479,372,811.28/551,504.60
  6. Step 6: Final answer
    x = 472,306.80

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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.