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Finding the Fourth Proportional to 522,915.63, 784,114.44 and 185,905.82

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Solution

The fourth proportional to 522,915.63, 784,114.44 and 185,905.82 is: 278,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,915.63 : 784,114.44 = 185,905.82 : x
  2. Step 2: Convert to fraction form
    522,915.63/784,114.44 = 185,905.82/x
  3. Step 3: Cross multiply
    522,915.63x = 784,114.44 × 185,905.82
  4. Step 4: Simplify right side
    522,915.63x = 145,771,434,021.47
  5. Step 5: Solve for x
    x = 145,771,434,021.47/522,915.63
  6. Step 6: Final answer
    x = 278,766.64

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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.