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Finding the Fourth Proportional to 368,145.92, 508,034.66 and 204,801.68

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Solution

The fourth proportional to 368,145.92, 508,034.66 and 204,801.68 is: 282,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,145.92 : 508,034.66 = 204,801.68 : x
  2. Step 2: Convert to fraction form
    368,145.92/508,034.66 = 204,801.68/x
  3. Step 3: Cross multiply
    368,145.92x = 508,034.66 × 204,801.68
  4. Step 4: Simplify right side
    368,145.92x = 104,046,351,866.23
  5. Step 5: Solve for x
    x = 104,046,351,866.23/368,145.92
  6. Step 6: Final answer
    x = 282,622.59

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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.