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Finding the Fourth Proportional to 341,027.92, 470,621.64 and 205,066

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Solution

The fourth proportional to 341,027.92, 470,621.64 and 205,066 is: 282,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,027.92 : 470,621.64 = 205,066 : x
  2. Step 2: Convert to fraction form
    341,027.92/470,621.64 = 205,066/x
  3. Step 3: Cross multiply
    341,027.92x = 470,621.64 × 205,066
  4. Step 4: Simplify right side
    341,027.92x = 96,508,497,228.24
  5. Step 5: Solve for x
    x = 96,508,497,228.24/341,027.92
  6. Step 6: Final answer
    x = 282,992.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.