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Finding the Fourth Proportional to 523,728.36, 785,576.97 and 144,671.85

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Solution

The fourth proportional to 523,728.36, 785,576.97 and 144,671.85 is: 217,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,728.36 : 785,576.97 = 144,671.85 : x
  2. Step 2: Convert to fraction form
    523,728.36/785,576.97 = 144,671.85/x
  3. Step 3: Cross multiply
    523,728.36x = 785,576.97 × 144,671.85
  4. Step 4: Simplify right side
    523,728.36x = 113,650,873,567.30
  5. Step 5: Solve for x
    x = 113,650,873,567.30/523,728.36
  6. Step 6: Final answer
    x = 217,003.47

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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.