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Finding the Fourth Proportional to 340,825.80, 511,238.70 and 214,854.60

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Solution

The fourth proportional to 340,825.80, 511,238.70 and 214,854.60 is: 322,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,825.80 : 511,238.70 = 214,854.60 : x
  2. Step 2: Convert to fraction form
    340,825.80/511,238.70 = 214,854.60/x
  3. Step 3: Cross multiply
    340,825.80x = 511,238.70 × 214,854.60
  4. Step 4: Simplify right side
    340,825.80x = 109,841,986,393.02
  5. Step 5: Solve for x
    x = 109,841,986,393.02/340,825.80
  6. Step 6: Final answer
    x = 322,281.90

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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.