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Finding the Fourth Proportional to 469,516.84, 704,331.11 and 149,556.33

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Solution

The fourth proportional to 469,516.84, 704,331.11 and 149,556.33 is: 224,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,516.84 : 704,331.11 = 149,556.33 : x
  2. Step 2: Convert to fraction form
    469,516.84/704,331.11 = 149,556.33/x
  3. Step 3: Cross multiply
    469,516.84x = 704,331.11 × 149,556.33
  4. Step 4: Simplify right side
    469,516.84x = 105,337,176,290.32
  5. Step 5: Solve for x
    x = 105,337,176,290.32/469,516.84
  6. Step 6: Final answer
    x = 224,352.29

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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.