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Finding the Fourth Proportional to 538,011.88, 805,967.94 and 419,126.56

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Solution

The fourth proportional to 538,011.88, 805,967.94 and 419,126.56 is: 627,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,011.88 : 805,967.94 = 419,126.56 : x
  2. Step 2: Convert to fraction form
    538,011.88/805,967.94 = 419,126.56/x
  3. Step 3: Cross multiply
    538,011.88x = 805,967.94 × 419,126.56
  4. Step 4: Simplify right side
    538,011.88x = 337,802,570,162.49
  5. Step 5: Solve for x
    x = 337,802,570,162.49/538,011.88
  6. Step 6: Final answer
    x = 627,871.95

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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.