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Finding the Fourth Proportional to 367,476.08, 507,146.28 and 206,341.88

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Solution

The fourth proportional to 367,476.08, 507,146.28 and 206,341.88 is: 284,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,476.08 : 507,146.28 = 206,341.88 : x
  2. Step 2: Convert to fraction form
    367,476.08/507,146.28 = 206,341.88/x
  3. Step 3: Cross multiply
    367,476.08x = 507,146.28 × 206,341.88
  4. Step 4: Simplify right side
    367,476.08x = 104,645,516,850.21
  5. Step 5: Solve for x
    x = 104,645,516,850.21/367,476.08
  6. Step 6: Final answer
    x = 284,768.24

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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.