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Finding the Fourth Proportional to 416,564.70, 574,429.26 and 356,334.72

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Solution

The fourth proportional to 416,564.70, 574,429.26 and 356,334.72 is: 491,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,564.70 : 574,429.26 = 356,334.72 : x
  2. Step 2: Convert to fraction form
    416,564.70/574,429.26 = 356,334.72/x
  3. Step 3: Cross multiply
    416,564.70x = 574,429.26 × 356,334.72
  4. Step 4: Simplify right side
    416,564.70x = 204,689,089,521.91
  5. Step 5: Solve for x
    x = 204,689,089,521.91/416,564.70
  6. Step 6: Final answer
    x = 491,374.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.