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Finding the Fourth Proportional to 641,728.08, 885,986.40 and 412,377.84

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Solution

The fourth proportional to 641,728.08, 885,986.40 and 412,377.84 is: 569,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,728.08 : 885,986.40 = 412,377.84 : x
  2. Step 2: Convert to fraction form
    641,728.08/885,986.40 = 412,377.84/x
  3. Step 3: Cross multiply
    641,728.08x = 885,986.40 × 412,377.84
  4. Step 4: Simplify right side
    641,728.08x = 365,361,157,901.38
  5. Step 5: Solve for x
    x = 365,361,157,901.38/641,728.08
  6. Step 6: Final answer
    x = 569,339.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.