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Finding the Fourth Proportional to 367,405.84, 506,985.06 and 206,223.94

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Solution

The fourth proportional to 367,405.84, 506,985.06 and 206,223.94 is: 284,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,405.84 : 506,985.06 = 206,223.94 : x
  2. Step 2: Convert to fraction form
    367,405.84/506,985.06 = 206,223.94/x
  3. Step 3: Cross multiply
    367,405.84x = 506,985.06 × 206,223.94
  4. Step 4: Simplify right side
    367,405.84x = 104,552,455,326.87
  5. Step 5: Solve for x
    x = 104,552,455,326.87/367,405.84
  6. Step 6: Final answer
    x = 284,569.39

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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.