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Finding the Fourth Proportional to 369,409.50, 509,773.55 and 208,262.22

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Solution

The fourth proportional to 369,409.50, 509,773.55 and 208,262.22 is: 287,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,409.50 : 509,773.55 = 208,262.22 : x
  2. Step 2: Convert to fraction form
    369,409.50/509,773.55 = 208,262.22/x
  3. Step 3: Cross multiply
    369,409.50x = 509,773.55 × 208,262.22
  4. Step 4: Simplify right side
    369,409.50x = 106,166,570,178.97
  5. Step 5: Solve for x
    x = 106,166,570,178.97/369,409.50
  6. Step 6: Final answer
    x = 287,395.34

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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.