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Finding the Fourth Proportional to 291,203.80, 401,877.79 and 174,952.83

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Solution

The fourth proportional to 291,203.80, 401,877.79 and 174,952.83 is: 241,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,203.80 : 401,877.79 = 174,952.83 : x
  2. Step 2: Convert to fraction form
    291,203.80/401,877.79 = 174,952.83/x
  3. Step 3: Cross multiply
    291,203.80x = 401,877.79 × 174,952.83
  4. Step 4: Simplify right side
    291,203.80x = 70,309,653,790.49
  5. Step 5: Solve for x
    x = 70,309,653,790.49/291,203.80
  6. Step 6: Final answer
    x = 241,444.84

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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.