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Finding the Fourth Proportional to 340,801.70, 511,202.55 and 172,840.10

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Solution

The fourth proportional to 340,801.70, 511,202.55 and 172,840.10 is: 259,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,801.70 : 511,202.55 = 172,840.10 : x
  2. Step 2: Convert to fraction form
    340,801.70/511,202.55 = 172,840.10/x
  3. Step 3: Cross multiply
    340,801.70x = 511,202.55 × 172,840.10
  4. Step 4: Simplify right side
    340,801.70x = 88,356,299,862.26
  5. Step 5: Solve for x
    x = 88,356,299,862.26/340,801.70
  6. Step 6: Final answer
    x = 259,260.15

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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.