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Finding the Fourth Proportional to 367,406.09, 506,985.41 and 206,224.19

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Solution

The fourth proportional to 367,406.09, 506,985.41 and 206,224.19 is: 284,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,406.09 : 506,985.41 = 206,224.19 : x
  2. Step 2: Convert to fraction form
    367,406.09/506,985.41 = 206,224.19/x
  3. Step 3: Cross multiply
    367,406.09x = 506,985.41 × 206,224.19
  4. Step 4: Simplify right side
    367,406.09x = 104,552,655,519.07
  5. Step 5: Solve for x
    x = 104,552,655,519.07/367,406.09
  6. Step 6: Final answer
    x = 284,569.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.