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Finding the Fourth Proportional to 446,086.91, 669,794.65 and 180,366.41

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Solution

The fourth proportional to 446,086.91, 669,794.65 and 180,366.41 is: 270,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,086.91 : 669,794.65 = 180,366.41 : x
  2. Step 2: Convert to fraction form
    446,086.91/669,794.65 = 180,366.41/x
  3. Step 3: Cross multiply
    446,086.91x = 669,794.65 × 180,366.41
  4. Step 4: Simplify right side
    446,086.91x = 120,808,457,681.28
  5. Step 5: Solve for x
    x = 120,808,457,681.28/446,086.91
  6. Step 6: Final answer
    x = 270,818.21

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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.