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Finding the Fourth Proportional to 366,690.80, 506,069.16 and 205,546.16

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Solution

The fourth proportional to 366,690.80, 506,069.16 and 205,546.16 is: 283,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,690.80 : 506,069.16 = 205,546.16 : x
  2. Step 2: Convert to fraction form
    366,690.80/506,069.16 = 205,546.16/x
  3. Step 3: Cross multiply
    366,690.80x = 506,069.16 × 205,546.16
  4. Step 4: Simplify right side
    366,690.80x = 104,020,572,532.43
  5. Step 5: Solve for x
    x = 104,020,572,532.43/366,690.80
  6. Step 6: Final answer
    x = 283,673.80

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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.