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Finding the Fourth Proportional to 340,874.40, 511,311.60 and 174,986.40

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Solution

The fourth proportional to 340,874.40, 511,311.60 and 174,986.40 is: 262,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,874.40 : 511,311.60 = 174,986.40 : x
  2. Step 2: Convert to fraction form
    340,874.40/511,311.60 = 174,986.40/x
  3. Step 3: Cross multiply
    340,874.40x = 511,311.60 × 174,986.40
  4. Step 4: Simplify right side
    340,874.40x = 89,472,576,162.24
  5. Step 5: Solve for x
    x = 89,472,576,162.24/340,874.40
  6. Step 6: Final answer
    x = 262,479.60

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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.