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Finding the Fourth Proportional to 466,470.55, 699,709.07 and 200,006.47

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Solution

The fourth proportional to 466,470.55, 699,709.07 and 200,006.47 is: 300,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,470.55 : 699,709.07 = 200,006.47 : x
  2. Step 2: Convert to fraction form
    466,470.55/699,709.07 = 200,006.47/x
  3. Step 3: Cross multiply
    466,470.55x = 699,709.07 × 200,006.47
  4. Step 4: Simplify right side
    466,470.55x = 139,946,340,117.65
  5. Step 5: Solve for x
    x = 139,946,340,117.65/466,470.55
  6. Step 6: Final answer
    x = 300,011.09

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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.