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Finding the Fourth Proportional to 441,051.40, 661,922.70 and 204,423.40

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Solution

The fourth proportional to 441,051.40, 661,922.70 and 204,423.40 is: 306,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,051.40 : 661,922.70 = 204,423.40 : x
  2. Step 2: Convert to fraction form
    441,051.40/661,922.70 = 204,423.40/x
  3. Step 3: Cross multiply
    441,051.40x = 661,922.70 × 204,423.40
  4. Step 4: Simplify right side
    441,051.40x = 135,312,488,871.18
  5. Step 5: Solve for x
    x = 135,312,488,871.18/441,051.40
  6. Step 6: Final answer
    x = 306,795.28

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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.