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Finding the Fourth Proportional to 469,896.45, 704,352.60 and 185,477.10

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Solution

The fourth proportional to 469,896.45, 704,352.60 and 185,477.10 is: 278,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,896.45 : 704,352.60 = 185,477.10 : x
  2. Step 2: Convert to fraction form
    469,896.45/704,352.60 = 185,477.10/x
  3. Step 3: Cross multiply
    469,896.45x = 704,352.60 × 185,477.10
  4. Step 4: Simplify right side
    469,896.45x = 130,641,277,625.46
  5. Step 5: Solve for x
    x = 130,641,277,625.46/469,896.45
  6. Step 6: Final answer
    x = 278,021.42

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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.