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Finding the Fourth Proportional to 446,746.14, 670,202.22 and 147,247.74

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Solution

The fourth proportional to 446,746.14, 670,202.22 and 147,247.74 is: 220,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,746.14 : 670,202.22 = 147,247.74 : x
  2. Step 2: Convert to fraction form
    446,746.14/670,202.22 = 147,247.74/x
  3. Step 3: Cross multiply
    446,746.14x = 670,202.22 × 147,247.74
  4. Step 4: Simplify right side
    446,746.14x = 98,685,762,237.98
  5. Step 5: Solve for x
    x = 98,685,762,237.98/446,746.14
  6. Step 6: Final answer
    x = 220,898.97

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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.