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Finding the Fourth Proportional to 470,891.61, 706,321.55 and 204,652.14

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Solution

The fourth proportional to 470,891.61, 706,321.55 and 204,652.14 is: 306,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891.61 : 706,321.55 = 204,652.14 : x
  2. Step 2: Convert to fraction form
    470,891.61/706,321.55 = 204,652.14/x
  3. Step 3: Cross multiply
    470,891.61x = 706,321.55 × 204,652.14
  4. Step 4: Simplify right side
    470,891.61x = 144,550,214,598.54
  5. Step 5: Solve for x
    x = 144,550,214,598.54/470,891.61
  6. Step 6: Final answer
    x = 306,971.31

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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.