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Finding the Fourth Proportional to 412,099.68, 618,238.32 and 127,784.52

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Solution

The fourth proportional to 412,099.68, 618,238.32 and 127,784.52 is: 191,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,099.68 : 618,238.32 = 127,784.52 : x
  2. Step 2: Convert to fraction form
    412,099.68/618,238.32 = 127,784.52/x
  3. Step 3: Cross multiply
    412,099.68x = 618,238.32 × 127,784.52
  4. Step 4: Simplify right side
    412,099.68x = 79,001,286,966.81
  5. Step 5: Solve for x
    x = 79,001,286,966.81/412,099.68
  6. Step 6: Final answer
    x = 191,704.32

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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.