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Finding the Fourth Proportional to 517,094.32, 775,180.86 and 201,479.44

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Solution

The fourth proportional to 517,094.32, 775,180.86 and 201,479.44 is: 302,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,094.32 : 775,180.86 = 201,479.44 : x
  2. Step 2: Convert to fraction form
    517,094.32/775,180.86 = 201,479.44/x
  3. Step 3: Cross multiply
    517,094.32x = 775,180.86 × 201,479.44
  4. Step 4: Simplify right side
    517,094.32x = 156,183,005,571.52
  5. Step 5: Solve for x
    x = 156,183,005,571.52/517,094.32
  6. Step 6: Final answer
    x = 302,039.69

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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.