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Finding the Fourth Proportional to 470,463.68, 705,694.44 and 204,189.68

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Solution

The fourth proportional to 470,463.68, 705,694.44 and 204,189.68 is: 306,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,463.68 : 705,694.44 = 204,189.68 : x
  2. Step 2: Convert to fraction form
    470,463.68/705,694.44 = 204,189.68/x
  3. Step 3: Cross multiply
    470,463.68x = 705,694.44 × 204,189.68
  4. Step 4: Simplify right side
    470,463.68x = 144,095,521,881.38
  5. Step 5: Solve for x
    x = 144,095,521,881.38/470,463.68
  6. Step 6: Final answer
    x = 306,284.05

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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.