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Finding the Fourth Proportional to 446,406.94, 669,040.98 and 209,227.06

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Solution

The fourth proportional to 446,406.94, 669,040.98 and 209,227.06 is: 313,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,406.94 : 669,040.98 = 209,227.06 : x
  2. Step 2: Convert to fraction form
    446,406.94/669,040.98 = 209,227.06/x
  3. Step 3: Cross multiply
    446,406.94x = 669,040.98 × 209,227.06
  4. Step 4: Simplify right side
    446,406.94x = 139,981,477,264.92
  5. Step 5: Solve for x
    x = 139,981,477,264.92/446,406.94
  6. Step 6: Final answer
    x = 313,573.70

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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.