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Finding the Fourth Proportional to 339,014.40, 508,521.60 and 206,155.20

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Solution

The fourth proportional to 339,014.40, 508,521.60 and 206,155.20 is: 309,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,014.40 : 508,521.60 = 206,155.20 : x
  2. Step 2: Convert to fraction form
    339,014.40/508,521.60 = 206,155.20/x
  3. Step 3: Cross multiply
    339,014.40x = 508,521.60 × 206,155.20
  4. Step 4: Simplify right side
    339,014.40x = 104,834,372,152.32
  5. Step 5: Solve for x
    x = 104,834,372,152.32/339,014.40
  6. Step 6: Final answer
    x = 309,232.80

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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.