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Finding the Fourth Proportional to 470,897.11, 706,329.80 and 204,657.65

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Solution

The fourth proportional to 470,897.11, 706,329.80 and 204,657.65 is: 306,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.11 : 706,329.80 = 204,657.65 : x
  2. Step 2: Convert to fraction form
    470,897.11/706,329.80 = 204,657.65/x
  3. Step 3: Cross multiply
    470,897.11x = 706,329.80 × 204,657.65
  4. Step 4: Simplify right side
    470,897.11x = 144,555,796,992.97
  5. Step 5: Solve for x
    x = 144,555,796,992.97/470,897.11
  6. Step 6: Final answer
    x = 306,979.58

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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.