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Finding the Fourth Proportional to 298,261, 411,941.46 and 202,607.56

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Solution

The fourth proportional to 298,261, 411,941.46 and 202,607.56 is: 279,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,261 : 411,941.46 = 202,607.56 : x
  2. Step 2: Convert to fraction form
    298,261/411,941.46 = 202,607.56/x
  3. Step 3: Cross multiply
    298,261x = 411,941.46 × 202,607.56
  4. Step 4: Simplify right side
    298,261x = 83,462,454,073.44
  5. Step 5: Solve for x
    x = 83,462,454,073.44/298,261
  6. Step 6: Final answer
    x = 279,830.26

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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.