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Finding the Fourth Proportional to 523,741.70, 785,596.96 and 144,685.25

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Solution

The fourth proportional to 523,741.70, 785,596.96 and 144,685.25 is: 217,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,741.70 : 785,596.96 = 144,685.25 : x
  2. Step 2: Convert to fraction form
    523,741.70/785,596.96 = 144,685.25/x
  3. Step 3: Cross multiply
    523,741.70x = 785,596.96 × 144,685.25
  4. Step 4: Simplify right side
    523,741.70x = 113,664,292,556.84
  5. Step 5: Solve for x
    x = 113,664,292,556.84/523,741.70
  6. Step 6: Final answer
    x = 217,023.57

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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.