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Finding the Fourth Proportional to 446,053.69, 669,074.76 and 109,097.13

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Solution

The fourth proportional to 446,053.69, 669,074.76 and 109,097.13 is: 163,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,053.69 : 669,074.76 = 109,097.13 : x
  2. Step 2: Convert to fraction form
    446,053.69/669,074.76 = 109,097.13/x
  3. Step 3: Cross multiply
    446,053.69x = 669,074.76 × 109,097.13
  4. Step 4: Simplify right side
    446,053.69x = 72,994,136,071.44
  5. Step 5: Solve for x
    x = 72,994,136,071.44/446,053.69
  6. Step 6: Final answer
    x = 163,644.28

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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.