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Finding the Fourth Proportional to 368,071.48, 507,935.58 and 206,927.24

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Solution

The fourth proportional to 368,071.48, 507,935.58 and 206,927.24 is: 285,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,071.48 : 507,935.58 = 206,927.24 : x
  2. Step 2: Convert to fraction form
    368,071.48/507,935.58 = 206,927.24/x
  3. Step 3: Cross multiply
    368,071.48x = 507,935.58 × 206,927.24
  4. Step 4: Simplify right side
    368,071.48x = 105,105,707,667.20
  5. Step 5: Solve for x
    x = 105,105,707,667.20/368,071.48
  6. Step 6: Final answer
    x = 285,557.87

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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.