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Finding the Fourth Proportional to 446,866.90, 669,922.71 and 193,956.10

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Solution

The fourth proportional to 446,866.90, 669,922.71 and 193,956.10 is: 290,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,866.90 : 669,922.71 = 193,956.10 : x
  2. Step 2: Convert to fraction form
    446,866.90/669,922.71 = 193,956.10/x
  3. Step 3: Cross multiply
    446,866.90x = 669,922.71 × 193,956.10
  4. Step 4: Simplify right side
    446,866.90x = 129,935,596,133.03
  5. Step 5: Solve for x
    x = 129,935,596,133.03/446,866.90
  6. Step 6: Final answer
    x = 290,770.24

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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.