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Finding the Fourth Proportional to 441,459.96, 661,730.58 and 204,607.86

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Solution

The fourth proportional to 441,459.96, 661,730.58 and 204,607.86 is: 306,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,459.96 : 661,730.58 = 204,607.86 : x
  2. Step 2: Convert to fraction form
    441,459.96/661,730.58 = 204,607.86/x
  3. Step 3: Cross multiply
    441,459.96x = 661,730.58 × 204,607.86
  4. Step 4: Simplify right side
    441,459.96x = 135,395,277,870.36
  5. Step 5: Solve for x
    x = 135,395,277,870.36/441,459.96
  6. Step 6: Final answer
    x = 306,698.89

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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.