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Finding the Fourth Proportional to 340,601.70, 511,194.15 and 151,353.30

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Solution

The fourth proportional to 340,601.70, 511,194.15 and 151,353.30 is: 227,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,601.70 : 511,194.15 = 151,353.30 : x
  2. Step 2: Convert to fraction form
    340,601.70/511,194.15 = 151,353.30/x
  3. Step 3: Cross multiply
    340,601.70x = 511,194.15 × 151,353.30
  4. Step 4: Simplify right side
    340,601.70x = 77,370,921,543.20
  5. Step 5: Solve for x
    x = 77,370,921,543.20/340,601.70
  6. Step 6: Final answer
    x = 227,159.53

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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.