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Finding the Fourth Proportional to 368,036.92, 507,856.62 and 206,877.88

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Solution

The fourth proportional to 368,036.92, 507,856.62 and 206,877.88 is: 285,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,036.92 : 507,856.62 = 206,877.88 : x
  2. Step 2: Convert to fraction form
    368,036.92/507,856.62 = 206,877.88/x
  3. Step 3: Cross multiply
    368,036.92x = 507,856.62 × 206,877.88
  4. Step 4: Simplify right side
    368,036.92x = 105,064,300,889.57
  5. Step 5: Solve for x
    x = 105,064,300,889.57/368,036.92
  6. Step 6: Final answer
    x = 285,472.18

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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.