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Finding the Fourth Proportional to 422,807.84, 583,493.04 and 253,009.28

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Solution

The fourth proportional to 422,807.84, 583,493.04 and 253,009.28 is: 349,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,807.84 : 583,493.04 = 253,009.28 : x
  2. Step 2: Convert to fraction form
    422,807.84/583,493.04 = 253,009.28/x
  3. Step 3: Cross multiply
    422,807.84x = 583,493.04 × 253,009.28
  4. Step 4: Simplify right side
    422,807.84x = 147,629,153,935.41
  5. Step 5: Solve for x
    x = 147,629,153,935.41/422,807.84
  6. Step 6: Final answer
    x = 349,163.71

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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.