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Finding the Fourth Proportional to 538,657.96, 743,350.32 and 296,935.33

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Solution

The fourth proportional to 538,657.96, 743,350.32 and 296,935.33 is: 409,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,657.96 : 743,350.32 = 296,935.33 : x
  2. Step 2: Convert to fraction form
    538,657.96/743,350.32 = 296,935.33/x
  3. Step 3: Cross multiply
    538,657.96x = 743,350.32 × 296,935.33
  4. Step 4: Simplify right side
    538,657.96x = 220,726,972,574.81
  5. Step 5: Solve for x
    x = 220,726,972,574.81/538,657.96
  6. Step 6: Final answer
    x = 409,772.04

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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.