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Finding the Fourth Proportional to 523,756.73, 785,680.36 and 144,677.34

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Solution

The fourth proportional to 523,756.73, 785,680.36 and 144,677.34 is: 217,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,756.73 : 785,680.36 = 144,677.34 : x
  2. Step 2: Convert to fraction form
    523,756.73/785,680.36 = 144,677.34/x
  3. Step 3: Cross multiply
    523,756.73x = 785,680.36 × 144,677.34
  4. Step 4: Simplify right side
    523,756.73x = 113,670,144,213.35
  5. Step 5: Solve for x
    x = 113,670,144,213.35/523,756.73
  6. Step 6: Final answer
    x = 217,028.51

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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.