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Finding the Fourth Proportional to 407,634.30, 608,706.54 and 332,902.80

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Solution

The fourth proportional to 407,634.30, 608,706.54 and 332,902.80 is: 497,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,634.30 : 608,706.54 = 332,902.80 : x
  2. Step 2: Convert to fraction form
    407,634.30/608,706.54 = 332,902.80/x
  3. Step 3: Cross multiply
    407,634.30x = 608,706.54 × 332,902.80
  4. Step 4: Simplify right side
    407,634.30x = 202,640,111,544.31
  5. Step 5: Solve for x
    x = 202,640,111,544.31/407,634.30
  6. Step 6: Final answer
    x = 497,112.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.