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Finding the Fourth Proportional to 367,649.78, 507,345.64 and 204,305.74

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Solution

The fourth proportional to 367,649.78, 507,345.64 and 204,305.74 is: 281,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,649.78 : 507,345.64 = 204,305.74 : x
  2. Step 2: Convert to fraction form
    367,649.78/507,345.64 = 204,305.74/x
  3. Step 3: Cross multiply
    367,649.78x = 507,345.64 × 204,305.74
  4. Step 4: Simplify right side
    367,649.78x = 103,653,625,786.07
  5. Step 5: Solve for x
    x = 103,653,625,786.07/367,649.78
  6. Step 6: Final answer
    x = 281,935.77

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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.