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Finding the Fourth Proportional to 523,761.98, 785,688.24 and 144,682.60

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Solution

The fourth proportional to 523,761.98, 785,688.24 and 144,682.60 is: 217,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,761.98 : 785,688.24 = 144,682.60 : x
  2. Step 2: Convert to fraction form
    523,761.98/785,688.24 = 144,682.60/x
  3. Step 3: Cross multiply
    523,761.98x = 785,688.24 × 144,682.60
  4. Step 4: Simplify right side
    523,761.98x = 113,675,417,352.62
  5. Step 5: Solve for x
    x = 113,675,417,352.62/523,761.98
  6. Step 6: Final answer
    x = 217,036.41

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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.