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Finding the Fourth Proportional to 469,993.67, 705,107.10 and 137,569.67

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Solution

The fourth proportional to 469,993.67, 705,107.10 and 137,569.67 is: 206,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,993.67 : 705,107.10 = 137,569.67 : x
  2. Step 2: Convert to fraction form
    469,993.67/705,107.10 = 137,569.67/x
  3. Step 3: Cross multiply
    469,993.67x = 705,107.10 × 137,569.67
  4. Step 4: Simplify right side
    469,993.67x = 97,001,351,061.66
  5. Step 5: Solve for x
    x = 97,001,351,061.66/469,993.67
  6. Step 6: Final answer
    x = 206,388.63

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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.