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Finding the Fourth Proportional to 368,844.96, 508,992.32 and 205,497.60

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Solution

The fourth proportional to 368,844.96, 508,992.32 and 205,497.60 is: 283,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,844.96 : 508,992.32 = 205,497.60 : x
  2. Step 2: Convert to fraction form
    368,844.96/508,992.32 = 205,497.60/x
  3. Step 3: Cross multiply
    368,844.96x = 508,992.32 × 205,497.60
  4. Step 4: Simplify right side
    368,844.96x = 104,596,700,178.43
  5. Step 5: Solve for x
    x = 104,596,700,178.43/368,844.96
  6. Step 6: Final answer
    x = 283,579.04

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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.