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Finding the Fourth Proportional to 341,385, 511,940.58 and 141,569.64

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Solution

The fourth proportional to 341,385, 511,940.58 and 141,569.64 is: 212,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,385 : 511,940.58 = 141,569.64 : x
  2. Step 2: Convert to fraction form
    341,385/511,940.58 = 141,569.64/x
  3. Step 3: Cross multiply
    341,385x = 511,940.58 × 141,569.64
  4. Step 4: Simplify right side
    341,385x = 72,475,243,611.99
  5. Step 5: Solve for x
    x = 72,475,243,611.99/341,385
  6. Step 6: Final answer
    x = 212,297.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.