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Finding the Fourth Proportional to 507,933.80, 762,224.70 and 241,994.60

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Solution

The fourth proportional to 507,933.80, 762,224.70 and 241,994.60 is: 363,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,933.80 : 762,224.70 = 241,994.60 : x
  2. Step 2: Convert to fraction form
    507,933.80/762,224.70 = 241,994.60/x
  3. Step 3: Cross multiply
    507,933.80x = 762,224.70 × 241,994.60
  4. Step 4: Simplify right side
    507,933.80x = 184,454,261,386.62
  5. Step 5: Solve for x
    x = 184,454,261,386.62/507,933.80
  6. Step 6: Final answer
    x = 363,146.26

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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.