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Finding the Fourth Proportional to 291,601.46, 402,410.04 and 164,277.02

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Solution

The fourth proportional to 291,601.46, 402,410.04 and 164,277.02 is: 226,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,601.46 : 402,410.04 = 164,277.02 : x
  2. Step 2: Convert to fraction form
    291,601.46/402,410.04 = 164,277.02/x
  3. Step 3: Cross multiply
    291,601.46x = 402,410.04 × 164,277.02
  4. Step 4: Simplify right side
    291,601.46x = 66,106,722,189.28
  5. Step 5: Solve for x
    x = 66,106,722,189.28/291,601.46
  6. Step 6: Final answer
    x = 226,702.30

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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.