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Finding the Fourth Proportional to 368,022.80, 507,913.56 and 204,695.82

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Solution

The fourth proportional to 368,022.80, 507,913.56 and 204,695.82 is: 282,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,022.80 : 507,913.56 = 204,695.82 : x
  2. Step 2: Convert to fraction form
    368,022.80/507,913.56 = 204,695.82/x
  3. Step 3: Cross multiply
    368,022.80x = 507,913.56 × 204,695.82
  4. Step 4: Simplify right side
    368,022.80x = 103,967,782,653.32
  5. Step 5: Solve for x
    x = 103,967,782,653.32/368,022.80
  6. Step 6: Final answer
    x = 282,503.65

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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.