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Finding the Fourth Proportional to 368,224.75, 508,105.51 and 204,842.64

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Solution

The fourth proportional to 368,224.75, 508,105.51 and 204,842.64 is: 282,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,224.75 : 508,105.51 = 204,842.64 : x
  2. Step 2: Convert to fraction form
    368,224.75/508,105.51 = 204,842.64/x
  3. Step 3: Cross multiply
    368,224.75x = 508,105.51 × 204,842.64
  4. Step 4: Simplify right side
    368,224.75x = 104,081,674,066.95
  5. Step 5: Solve for x
    x = 104,081,674,066.95/368,224.75
  6. Step 6: Final answer
    x = 282,658.01

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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.