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Finding the Fourth Proportional to 523,761.26, 785,687.13 and 144,681.84

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Solution

The fourth proportional to 523,761.26, 785,687.13 and 144,681.84 is: 217,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,761.26 : 785,687.13 = 144,681.84 : x
  2. Step 2: Convert to fraction form
    523,761.26/785,687.13 = 144,681.84/x
  3. Step 3: Cross multiply
    523,761.26x = 785,687.13 × 144,681.84
  4. Step 4: Simplify right side
    523,761.26x = 113,674,659,632.72
  5. Step 5: Solve for x
    x = 113,674,659,632.72/523,761.26
  6. Step 6: Final answer
    x = 217,035.26

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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.