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Finding the Fourth Proportional to 461,467.40, 691,812.30 and 239,851.40

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Solution

The fourth proportional to 461,467.40, 691,812.30 and 239,851.40 is: 359,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,467.40 : 691,812.30 = 239,851.40 : x
  2. Step 2: Convert to fraction form
    461,467.40/691,812.30 = 239,851.40/x
  3. Step 3: Cross multiply
    461,467.40x = 691,812.30 × 239,851.40
  4. Step 4: Simplify right side
    461,467.40x = 165,932,148,692.22
  5. Step 5: Solve for x
    x = 165,932,148,692.22/461,467.40
  6. Step 6: Final answer
    x = 359,575.02

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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.