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Finding the Fourth Proportional to 470,872.86, 706,293.54 and 204,633.39

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Solution

The fourth proportional to 470,872.86, 706,293.54 and 204,633.39 is: 306,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.86 : 706,293.54 = 204,633.39 : x
  2. Step 2: Convert to fraction form
    470,872.86/706,293.54 = 204,633.39/x
  3. Step 3: Cross multiply
    470,872.86x = 706,293.54 × 204,633.39
  4. Step 4: Simplify right side
    470,872.86x = 144,531,241,425.30
  5. Step 5: Solve for x
    x = 144,531,241,425.30/470,872.86
  6. Step 6: Final answer
    x = 306,943.24

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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.