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Finding the Fourth Proportional to 538,864.80, 806,914.80 and 513,981.60

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Solution

The fourth proportional to 538,864.80, 806,914.80 and 513,981.60 is: 769,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,864.80 : 806,914.80 = 513,981.60 : x
  2. Step 2: Convert to fraction form
    538,864.80/806,914.80 = 513,981.60/x
  3. Step 3: Cross multiply
    538,864.80x = 806,914.80 × 513,981.60
  4. Step 4: Simplify right side
    538,864.80x = 414,739,359,967.68
  5. Step 5: Solve for x
    x = 414,739,359,967.68/538,864.80
  6. Step 6: Final answer
    x = 769,653.84

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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.