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Finding the Fourth Proportional to 472,109.20, 708,295.20 and 205,893.04

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Solution

The fourth proportional to 472,109.20, 708,295.20 and 205,893.04 is: 308,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,109.20 : 708,295.20 = 205,893.04 : x
  2. Step 2: Convert to fraction form
    472,109.20/708,295.20 = 205,893.04/x
  3. Step 3: Cross multiply
    472,109.20x = 708,295.20 × 205,893.04
  4. Step 4: Simplify right side
    472,109.20x = 145,833,051,945.41
  5. Step 5: Solve for x
    x = 145,833,051,945.41/472,109.20
  6. Step 6: Final answer
    x = 308,896.87

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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.