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Finding the Fourth Proportional to 747,864, 1,032,057.36 and 408,336.48

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Solution

The fourth proportional to 747,864, 1,032,057.36 and 408,336.48 is: 563,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,864 : 1,032,057.36 = 408,336.48 : x
  2. Step 2: Convert to fraction form
    747,864/1,032,057.36 = 408,336.48/x
  3. Step 3: Cross multiply
    747,864x = 1,032,057.36 × 408,336.48
  4. Step 4: Simplify right side
    747,864x = 421,426,669,540.49
  5. Step 5: Solve for x
    x = 421,426,669,540.49/747,864
  6. Step 6: Final answer
    x = 563,507.09

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