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Finding the Fourth Proportional to 469,638.66, 704,019.73 and 185,331.57

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Solution

The fourth proportional to 469,638.66, 704,019.73 and 185,331.57 is: 277,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,638.66 : 704,019.73 = 185,331.57 : x
  2. Step 2: Convert to fraction form
    469,638.66/704,019.73 = 185,331.57/x
  3. Step 3: Cross multiply
    469,638.66x = 704,019.73 × 185,331.57
  4. Step 4: Simplify right side
    469,638.66x = 130,477,081,871.88
  5. Step 5: Solve for x
    x = 130,477,081,871.88/469,638.66
  6. Step 6: Final answer
    x = 277,824.41

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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.