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Finding the Fourth Proportional to 493,074.56, 740,074.08 and 256,584.80

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Solution

The fourth proportional to 493,074.56, 740,074.08 and 256,584.80 is: 385,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,074.56 : 740,074.08 = 256,584.80 : x
  2. Step 2: Convert to fraction form
    493,074.56/740,074.08 = 256,584.80/x
  3. Step 3: Cross multiply
    493,074.56x = 740,074.08 × 256,584.80
  4. Step 4: Simplify right side
    493,074.56x = 189,891,759,801.98
  5. Step 5: Solve for x
    x = 189,891,759,801.98/493,074.56
  6. Step 6: Final answer
    x = 385,117.74

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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.