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Finding the Fourth Proportional to 493,724.01, 739,321.05 and 341,710.50

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Solution

The fourth proportional to 493,724.01, 739,321.05 and 341,710.50 is: 511,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,724.01 : 739,321.05 = 341,710.50 : x
  2. Step 2: Convert to fraction form
    493,724.01/739,321.05 = 341,710.50/x
  3. Step 3: Cross multiply
    493,724.01x = 739,321.05 × 341,710.50
  4. Step 4: Simplify right side
    493,724.01x = 252,633,765,656.03
  5. Step 5: Solve for x
    x = 252,633,765,656.03/493,724.01
  6. Step 6: Final answer
    x = 511,690.26

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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.