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Finding the Fourth Proportional to 294,507.30, 406,409.25 and 179,977.61

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Solution

The fourth proportional to 294,507.30, 406,409.25 and 179,977.61 is: 248,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,507.30 : 406,409.25 = 179,977.61 : x
  2. Step 2: Convert to fraction form
    294,507.30/406,409.25 = 179,977.61/x
  3. Step 3: Cross multiply
    294,507.30x = 406,409.25 × 179,977.61
  4. Step 4: Simplify right side
    294,507.30x = 73,144,563,464.85
  5. Step 5: Solve for x
    x = 73,144,563,464.85/294,507.30
  6. Step 6: Final answer
    x = 248,362.48

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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.