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Finding the Fourth Proportional to 509,993.44, 763,494.72 and 357,662.56

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Solution

The fourth proportional to 509,993.44, 763,494.72 and 357,662.56 is: 535,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,993.44 : 763,494.72 = 357,662.56 : x
  2. Step 2: Convert to fraction form
    509,993.44/763,494.72 = 357,662.56/x
  3. Step 3: Cross multiply
    509,993.44x = 763,494.72 × 357,662.56
  4. Step 4: Simplify right side
    509,993.44x = 273,073,476,101.68
  5. Step 5: Solve for x
    x = 273,073,476,101.68/509,993.44
  6. Step 6: Final answer
    x = 535,445.08

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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.