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Finding the Fourth Proportional to 553,221.44, 829,623.36 and 179,144

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Solution

The fourth proportional to 553,221.44, 829,623.36 and 179,144 is: 268,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,221.44 : 829,623.36 = 179,144 : x
  2. Step 2: Convert to fraction form
    553,221.44/829,623.36 = 179,144/x
  3. Step 3: Cross multiply
    553,221.44x = 829,623.36 × 179,144
  4. Step 4: Simplify right side
    553,221.44x = 148,622,047,203.84
  5. Step 5: Solve for x
    x = 148,622,047,203.84/553,221.44
  6. Step 6: Final answer
    x = 268,648.39

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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.