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Finding the Fourth Proportional to 469,744.49, 704,733.38 and 137,320.49

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Solution

The fourth proportional to 469,744.49, 704,733.38 and 137,320.49 is: 206,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,744.49 : 704,733.38 = 137,320.49 : x
  2. Step 2: Convert to fraction form
    469,744.49/704,733.38 = 137,320.49/x
  3. Step 3: Cross multiply
    469,744.49x = 704,733.38 × 137,320.49
  4. Step 4: Simplify right side
    469,744.49x = 96,774,333,060.96
  5. Step 5: Solve for x
    x = 96,774,333,060.96/469,744.49
  6. Step 6: Final answer
    x = 206,014.83

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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.