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Finding the Fourth Proportional to 470,514.61, 705,375.16 and 204,074.45

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Solution

The fourth proportional to 470,514.61, 705,375.16 and 204,074.45 is: 305,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,514.61 : 705,375.16 = 204,074.45 : x
  2. Step 2: Convert to fraction form
    470,514.61/705,375.16 = 204,074.45/x
  3. Step 3: Cross multiply
    470,514.61x = 705,375.16 × 204,074.45
  4. Step 4: Simplify right side
    470,514.61x = 143,949,046,428.76
  5. Step 5: Solve for x
    x = 143,949,046,428.76/470,514.61
  6. Step 6: Final answer
    x = 305,939.59

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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.