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Finding the Fourth Proportional to 367,425.86, 507,055.56 and 206,285.28

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Solution

The fourth proportional to 367,425.86, 507,055.56 and 206,285.28 is: 284,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,425.86 : 507,055.56 = 206,285.28 : x
  2. Step 2: Convert to fraction form
    367,425.86/507,055.56 = 206,285.28/x
  3. Step 3: Cross multiply
    367,425.86x = 507,055.56 × 206,285.28
  4. Step 4: Simplify right side
    367,425.86x = 104,598,098,170.16
  5. Step 5: Solve for x
    x = 104,598,098,170.16/367,425.86
  6. Step 6: Final answer
    x = 284,678.11

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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.