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Finding the Fourth Proportional to 368,099.34, 507,976.47 and 206,954.70

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Solution

The fourth proportional to 368,099.34, 507,976.47 and 206,954.70 is: 285,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,099.34 : 507,976.47 = 206,954.70 : x
  2. Step 2: Convert to fraction form
    368,099.34/507,976.47 = 206,954.70/x
  3. Step 3: Cross multiply
    368,099.34x = 507,976.47 × 206,954.70
  4. Step 4: Simplify right side
    368,099.34x = 105,128,117,955.91
  5. Step 5: Solve for x
    x = 105,128,117,955.91/368,099.34
  6. Step 6: Final answer
    x = 285,597.14

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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.