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Finding the Fourth Proportional to 523,761.34, 785,517.44 and 144,673.68

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Solution

The fourth proportional to 523,761.34, 785,517.44 and 144,673.68 is: 216,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,761.34 : 785,517.44 = 144,673.68 : x
  2. Step 2: Convert to fraction form
    523,761.34/785,517.44 = 144,673.68/x
  3. Step 3: Cross multiply
    523,761.34x = 785,517.44 × 144,673.68
  4. Step 4: Simplify right side
    523,761.34x = 113,643,698,748.98
  5. Step 5: Solve for x
    x = 113,643,698,748.98/523,761.34
  6. Step 6: Final answer
    x = 216,976.11

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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.