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Finding the Fourth Proportional to 301,575.82, 415,823.03 and 224,961.92

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Solution

The fourth proportional to 301,575.82, 415,823.03 and 224,961.92 is: 310,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,575.82 : 415,823.03 = 224,961.92 : x
  2. Step 2: Convert to fraction form
    301,575.82/415,823.03 = 224,961.92/x
  3. Step 3: Cross multiply
    301,575.82x = 415,823.03 × 224,961.92
  4. Step 4: Simplify right side
    301,575.82x = 93,544,345,692.31
  5. Step 5: Solve for x
    x = 93,544,345,692.31/301,575.82
  6. Step 6: Final answer
    x = 310,185.17

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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.