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Finding the Fourth Proportional to 291,203.30, 401,877.10 and 174,952.33

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Solution

The fourth proportional to 291,203.30, 401,877.10 and 174,952.33 is: 241,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,203.30 : 401,877.10 = 174,952.33 : x
  2. Step 2: Convert to fraction form
    291,203.30/401,877.10 = 174,952.33/x
  3. Step 3: Cross multiply
    291,203.30x = 401,877.10 × 174,952.33
  4. Step 4: Simplify right side
    291,203.30x = 70,309,332,134.50
  5. Step 5: Solve for x
    x = 70,309,332,134.50/291,203.30
  6. Step 6: Final answer
    x = 241,444.15

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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.