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Finding the Fourth Proportional to 351,642.60, 527,118.30 and 314,317.80

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Solution

The fourth proportional to 351,642.60, 527,118.30 and 314,317.80 is: 471,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,642.60 : 527,118.30 = 314,317.80 : x
  2. Step 2: Convert to fraction form
    351,642.60/527,118.30 = 314,317.80/x
  3. Step 3: Cross multiply
    351,642.60x = 527,118.30 × 314,317.80
  4. Step 4: Simplify right side
    351,642.60x = 165,682,664,395.74
  5. Step 5: Solve for x
    x = 165,682,664,395.74/351,642.60
  6. Step 6: Final answer
    x = 471,167.78

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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.