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Finding the Fourth Proportional to 469,437.44, 704,126.97 and 149,581.40

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Solution

The fourth proportional to 469,437.44, 704,126.97 and 149,581.40 is: 224,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,437.44 : 704,126.97 = 149,581.40 : x
  2. Step 2: Convert to fraction form
    469,437.44/704,126.97 = 149,581.40/x
  3. Step 3: Cross multiply
    469,437.44x = 704,126.97 × 149,581.40
  4. Step 4: Simplify right side
    469,437.44x = 105,324,297,950.36
  5. Step 5: Solve for x
    x = 105,324,297,950.36/469,437.44
  6. Step 6: Final answer
    x = 224,362.80

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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.