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Finding the Fourth Proportional to 469,991.67, 705,104.10 and 137,567.67

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Solution

The fourth proportional to 469,991.67, 705,104.10 and 137,567.67 is: 206,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,991.67 : 705,104.10 = 137,567.67 : x
  2. Step 2: Convert to fraction form
    469,991.67/705,104.10 = 137,567.67/x
  3. Step 3: Cross multiply
    469,991.67x = 705,104.10 × 137,567.67
  4. Step 4: Simplify right side
    469,991.67x = 96,999,528,144.45
  5. Step 5: Solve for x
    x = 96,999,528,144.45/469,991.67
  6. Step 6: Final answer
    x = 206,385.63

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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.