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Finding the Fourth Proportional to 339,253.83, 511,263.35 and 305,562.07

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Solution

The fourth proportional to 339,253.83, 511,263.35 and 305,562.07 is: 460,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,253.83 : 511,263.35 = 305,562.07 : x
  2. Step 2: Convert to fraction form
    339,253.83/511,263.35 = 305,562.07/x
  3. Step 3: Cross multiply
    339,253.83x = 511,263.35 × 305,562.07
  4. Step 4: Simplify right side
    339,253.83x = 156,222,687,541.14
  5. Step 5: Solve for x
    x = 156,222,687,541.14/339,253.83
  6. Step 6: Final answer
    x = 460,489.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.