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Finding the Fourth Proportional to 408,524.37, 612,785.58 and 194,643.06

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Solution

The fourth proportional to 408,524.37, 612,785.58 and 194,643.06 is: 291,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,524.37 : 612,785.58 = 194,643.06 : x
  2. Step 2: Convert to fraction form
    408,524.37/612,785.58 = 194,643.06/x
  3. Step 3: Cross multiply
    408,524.37x = 612,785.58 × 194,643.06
  4. Step 4: Simplify right side
    408,524.37x = 119,274,460,415.08
  5. Step 5: Solve for x
    x = 119,274,460,415.08/408,524.37
  6. Step 6: Final answer
    x = 291,964.13

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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.