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Finding the Fourth Proportional to 512,139.93, 769,205.79 and 417,439.59

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Solution

The fourth proportional to 512,139.93, 769,205.79 and 417,439.59 is: 626,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,139.93 : 769,205.79 = 417,439.59 : x
  2. Step 2: Convert to fraction form
    512,139.93/769,205.79 = 417,439.59/x
  3. Step 3: Cross multiply
    512,139.93x = 769,205.79 × 417,439.59
  4. Step 4: Simplify right side
    512,139.93x = 321,096,949,603.23
  5. Step 5: Solve for x
    x = 321,096,949,603.23/512,139.93
  6. Step 6: Final answer
    x = 626,971.13

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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.