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Finding the Fourth Proportional to 368,006.70, 507,903.03 and 206,875.02

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Solution

The fourth proportional to 368,006.70, 507,903.03 and 206,875.02 is: 285,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,006.70 : 507,903.03 = 206,875.02 : x
  2. Step 2: Convert to fraction form
    368,006.70/507,903.03 = 206,875.02/x
  3. Step 3: Cross multiply
    368,006.70x = 507,903.03 × 206,875.02
  4. Step 4: Simplify right side
    368,006.70x = 105,072,449,489.31
  5. Step 5: Solve for x
    x = 105,072,449,489.31/368,006.70
  6. Step 6: Final answer
    x = 285,517.76

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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.