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Finding the Fourth Proportional to 496,410.78, 744,493.14 and 141,427.87

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Solution

The fourth proportional to 496,410.78, 744,493.14 and 141,427.87 is: 212,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,410.78 : 744,493.14 = 141,427.87 : x
  2. Step 2: Convert to fraction form
    496,410.78/744,493.14 = 141,427.87/x
  3. Step 3: Cross multiply
    496,410.78x = 744,493.14 × 141,427.87
  4. Step 4: Simplify right side
    496,410.78x = 105,292,079,019.81
  5. Step 5: Solve for x
    x = 105,292,079,019.81/496,410.78
  6. Step 6: Final answer
    x = 212,106.75

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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.