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Finding the Fourth Proportional to 367,464.82, 507,088.30 and 206,326.66

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Solution

The fourth proportional to 367,464.82, 507,088.30 and 206,326.66 is: 284,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,464.82 : 507,088.30 = 206,326.66 : x
  2. Step 2: Convert to fraction form
    367,464.82/507,088.30 = 206,326.66/x
  3. Step 3: Cross multiply
    367,464.82x = 507,088.30 × 206,326.66
  4. Step 4: Simplify right side
    367,464.82x = 104,625,835,264.08
  5. Step 5: Solve for x
    x = 104,625,835,264.08/367,464.82
  6. Step 6: Final answer
    x = 284,723.41

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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.