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Finding the Fourth Proportional to 466,470.80, 699,709.45 and 200,006.72

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Solution

The fourth proportional to 466,470.80, 699,709.45 and 200,006.72 is: 300,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,470.80 : 699,709.45 = 200,006.72 : x
  2. Step 2: Convert to fraction form
    466,470.80/699,709.45 = 200,006.72/x
  3. Step 3: Cross multiply
    466,470.80x = 699,709.45 × 200,006.72
  4. Step 4: Simplify right side
    466,470.80x = 139,946,592,047.50
  5. Step 5: Solve for x
    x = 139,946,592,047.50/466,470.80
  6. Step 6: Final answer
    x = 300,011.47

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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.