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Finding the Fourth Proportional to 470,732.21, 705,700.40 and 204,292.43

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Solution

The fourth proportional to 470,732.21, 705,700.40 and 204,292.43 is: 306,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,732.21 : 705,700.40 = 204,292.43 : x
  2. Step 2: Convert to fraction form
    470,732.21/705,700.40 = 204,292.43/x
  3. Step 3: Cross multiply
    470,732.21x = 705,700.40 × 204,292.43
  4. Step 4: Simplify right side
    470,732.21x = 144,169,245,018.01
  5. Step 5: Solve for x
    x = 144,169,245,018.01/470,732.21
  6. Step 6: Final answer
    x = 306,265.95

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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.