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Finding the Fourth Proportional to 367,328.80, 506,849.70 and 206,190.64

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Solution

The fourth proportional to 367,328.80, 506,849.70 and 206,190.64 is: 284,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,328.80 : 506,849.70 = 206,190.64 : x
  2. Step 2: Convert to fraction form
    367,328.80/506,849.70 = 206,190.64/x
  3. Step 3: Cross multiply
    367,328.80x = 506,849.70 × 206,190.64
  4. Step 4: Simplify right side
    367,328.80x = 104,507,664,026.81
  5. Step 5: Solve for x
    x = 104,507,664,026.81/367,328.80
  6. Step 6: Final answer
    x = 284,507.13

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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.