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Finding the Fourth Proportional to 306,056.70, 459,085.05 and 257,067.90

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Solution

The fourth proportional to 306,056.70, 459,085.05 and 257,067.90 is: 385,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056.70 : 459,085.05 = 257,067.90 : x
  2. Step 2: Convert to fraction form
    306,056.70/459,085.05 = 257,067.90/x
  3. Step 3: Cross multiply
    306,056.70x = 459,085.05 × 257,067.90
  4. Step 4: Simplify right side
    306,056.70x = 118,016,029,724.90
  5. Step 5: Solve for x
    x = 118,016,029,724.90/306,056.70
  6. Step 6: Final answer
    x = 385,601.85

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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.