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Finding the Fourth Proportional to 470,354.99, 705,532.48 and 204,109.61

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Solution

The fourth proportional to 470,354.99, 705,532.48 and 204,109.61 is: 306,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,354.99 : 705,532.48 = 204,109.61 : x
  2. Step 2: Convert to fraction form
    470,354.99/705,532.48 = 204,109.61/x
  3. Step 3: Cross multiply
    470,354.99x = 705,532.48 × 204,109.61
  4. Step 4: Simplify right side
    470,354.99x = 144,005,959,335.13
  5. Step 5: Solve for x
    x = 144,005,959,335.13/470,354.99
  6. Step 6: Final answer
    x = 306,164.41

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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.