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Finding the Fourth Proportional to 467,384.80, 699,464.40 and 280,530.40

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Solution

The fourth proportional to 467,384.80, 699,464.40 and 280,530.40 is: 419,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,384.80 : 699,464.40 = 280,530.40 : x
  2. Step 2: Convert to fraction form
    467,384.80/699,464.40 = 280,530.40/x
  3. Step 3: Cross multiply
    467,384.80x = 699,464.40 × 280,530.40
  4. Step 4: Simplify right side
    467,384.80x = 196,221,027,917.76
  5. Step 5: Solve for x
    x = 196,221,027,917.76/467,384.80
  6. Step 6: Final answer
    x = 419,827.58

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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.