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Finding the Fourth Proportional to 328,643.40, 492,981.30 and 171,179.40

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Solution

The fourth proportional to 328,643.40, 492,981.30 and 171,179.40 is: 256,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,643.40 : 492,981.30 = 171,179.40 : x
  2. Step 2: Convert to fraction form
    328,643.40/492,981.30 = 171,179.40/x
  3. Step 3: Cross multiply
    328,643.40x = 492,981.30 × 171,179.40
  4. Step 4: Simplify right side
    328,643.40x = 84,388,243,145.22
  5. Step 5: Solve for x
    x = 84,388,243,145.22/328,643.40
  6. Step 6: Final answer
    x = 256,777.54

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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.