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Finding the Fourth Proportional to 504,410.32, 756,733.24 and 171,986.64

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Solution

The fourth proportional to 504,410.32, 756,733.24 and 171,986.64 is: 258,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,410.32 : 756,733.24 = 171,986.64 : x
  2. Step 2: Convert to fraction form
    504,410.32/756,733.24 = 171,986.64/x
  3. Step 3: Cross multiply
    504,410.32x = 756,733.24 × 171,986.64
  4. Step 4: Simplify right side
    504,410.32x = 130,148,007,323.91
  5. Step 5: Solve for x
    x = 130,148,007,323.91/504,410.32
  6. Step 6: Final answer
    x = 258,020.11

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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.