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Finding the Fourth Proportional to 523,761.21, 785,517.24 and 144,673.56

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Solution

The fourth proportional to 523,761.21, 785,517.24 and 144,673.56 is: 216,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,761.21 : 785,517.24 = 144,673.56 : x
  2. Step 2: Convert to fraction form
    523,761.21/785,517.24 = 144,673.56/x
  3. Step 3: Cross multiply
    523,761.21x = 785,517.24 × 144,673.56
  4. Step 4: Simplify right side
    523,761.21x = 113,643,575,552.17
  5. Step 5: Solve for x
    x = 113,643,575,552.17/523,761.21
  6. Step 6: Final answer
    x = 216,975.93

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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.