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Finding the Fourth Proportional to 368,096.84, 507,973.02 and 206,952.20

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Solution

The fourth proportional to 368,096.84, 507,973.02 and 206,952.20 is: 285,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,096.84 : 507,973.02 = 206,952.20 : x
  2. Step 2: Convert to fraction form
    368,096.84/507,973.02 = 206,952.20/x
  3. Step 3: Cross multiply
    368,096.84x = 507,973.02 × 206,952.20
  4. Step 4: Simplify right side
    368,096.84x = 105,126,131,489.78
  5. Step 5: Solve for x
    x = 105,126,131,489.78/368,096.84
  6. Step 6: Final answer
    x = 285,593.68

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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.