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Finding the Fourth Proportional to 446,664.30, 669,802.05 and 147,029.10

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Solution

The fourth proportional to 446,664.30, 669,802.05 and 147,029.10 is: 220,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,664.30 : 669,802.05 = 147,029.10 : x
  2. Step 2: Convert to fraction form
    446,664.30/669,802.05 = 147,029.10/x
  3. Step 3: Cross multiply
    446,664.30x = 669,802.05 × 147,029.10
  4. Step 4: Simplify right side
    446,664.30x = 98,480,392,589.66
  5. Step 5: Solve for x
    x = 98,480,392,589.66/446,664.30
  6. Step 6: Final answer
    x = 220,479.66

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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.