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Finding the Fourth Proportional to 467,298.64, 701,793.08 and 429,791.44

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Solution

The fourth proportional to 467,298.64, 701,793.08 and 429,791.44 is: 645,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,298.64 : 701,793.08 = 429,791.44 : x
  2. Step 2: Convert to fraction form
    467,298.64/701,793.08 = 429,791.44/x
  3. Step 3: Cross multiply
    467,298.64x = 701,793.08 × 429,791.44
  4. Step 4: Simplify right side
    467,298.64x = 301,624,658,435.24
  5. Step 5: Solve for x
    x = 301,624,658,435.24/467,298.64
  6. Step 6: Final answer
    x = 645,464.45

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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.