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Finding the Fourth Proportional to 296,175.40, 442,967.10 and 264,812.20

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Solution

The fourth proportional to 296,175.40, 442,967.10 and 264,812.20 is: 396,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,175.40 : 442,967.10 = 264,812.20 : x
  2. Step 2: Convert to fraction form
    296,175.40/442,967.10 = 264,812.20/x
  3. Step 3: Cross multiply
    296,175.40x = 442,967.10 × 264,812.20
  4. Step 4: Simplify right side
    296,175.40x = 117,303,092,278.62
  5. Step 5: Solve for x
    x = 117,303,092,278.62/296,175.40
  6. Step 6: Final answer
    x = 396,059.54

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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.