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Finding the Fourth Proportional to 511,458.30, 767,187.45 and 227,082.02

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Solution

The fourth proportional to 511,458.30, 767,187.45 and 227,082.02 is: 340,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,458.30 : 767,187.45 = 227,082.02 : x
  2. Step 2: Convert to fraction form
    511,458.30/767,187.45 = 227,082.02/x
  3. Step 3: Cross multiply
    511,458.30x = 767,187.45 × 227,082.02
  4. Step 4: Simplify right side
    511,458.30x = 174,214,472,028.71
  5. Step 5: Solve for x
    x = 174,214,472,028.71/511,458.30
  6. Step 6: Final answer
    x = 340,623.02

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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.