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Finding the Fourth Proportional to 367,098.48, 506,603.70 and 205,965.18

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Solution

The fourth proportional to 367,098.48, 506,603.70 and 205,965.18 is: 284,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098.48 : 506,603.70 = 205,965.18 : x
  2. Step 2: Convert to fraction form
    367,098.48/506,603.70 = 205,965.18/x
  3. Step 3: Cross multiply
    367,098.48x = 506,603.70 × 205,965.18
  4. Step 4: Simplify right side
    367,098.48x = 104,342,722,259.17
  5. Step 5: Solve for x
    x = 104,342,722,259.17/367,098.48
  6. Step 6: Final answer
    x = 284,236.32

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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.