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Finding the Fourth Proportional to 470,710.43, 705,668.78 and 204,270.18

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Solution

The fourth proportional to 470,710.43, 705,668.78 and 204,270.18 is: 306,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,710.43 : 705,668.78 = 204,270.18 : x
  2. Step 2: Convert to fraction form
    470,710.43/705,668.78 = 204,270.18/x
  3. Step 3: Cross multiply
    470,710.43x = 705,668.78 × 204,270.18
  4. Step 4: Simplify right side
    470,710.43x = 144,147,087,689.63
  5. Step 5: Solve for x
    x = 144,147,087,689.63/470,710.43
  6. Step 6: Final answer
    x = 306,233.05

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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.