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Finding the Fourth Proportional to 492,695.60, 739,067.70 and 256,499.60

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Solution

The fourth proportional to 492,695.60, 739,067.70 and 256,499.60 is: 384,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,695.60 : 739,067.70 = 256,499.60 : x
  2. Step 2: Convert to fraction form
    492,695.60/739,067.70 = 256,499.60/x
  3. Step 3: Cross multiply
    492,695.60x = 739,067.70 × 256,499.60
  4. Step 4: Simplify right side
    492,695.60x = 189,570,569,422.92
  5. Step 5: Solve for x
    x = 189,570,569,422.92/492,695.60
  6. Step 6: Final answer
    x = 384,762.05

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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.