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Finding the Fourth Proportional to 340,732.62, 511,415.46 and 172,371.96

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Solution

The fourth proportional to 340,732.62, 511,415.46 and 172,371.96 is: 258,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,732.62 : 511,415.46 = 172,371.96 : x
  2. Step 2: Convert to fraction form
    340,732.62/511,415.46 = 172,371.96/x
  3. Step 3: Cross multiply
    340,732.62x = 511,415.46 × 172,371.96
  4. Step 4: Simplify right side
    340,732.62x = 88,153,685,214.50
  5. Step 5: Solve for x
    x = 88,153,685,214.50/340,732.62
  6. Step 6: Final answer
    x = 258,718.07

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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.