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Finding the Fourth Proportional to 403,732.94, 605,028.13 and 223,897.46

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Solution

The fourth proportional to 403,732.94, 605,028.13 and 223,897.46 is: 335,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,732.94 : 605,028.13 = 223,897.46 : x
  2. Step 2: Convert to fraction form
    403,732.94/605,028.13 = 223,897.46/x
  3. Step 3: Cross multiply
    403,732.94x = 605,028.13 × 223,897.46
  4. Step 4: Simplify right side
    403,732.94x = 135,464,263,327.99
  5. Step 5: Solve for x
    x = 135,464,263,327.99/403,732.94
  6. Step 6: Final answer
    x = 335,529.38

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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.