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Finding the Fourth Proportional to 328,464.40, 492,712.80 and 171,000.40

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Solution

The fourth proportional to 328,464.40, 492,712.80 and 171,000.40 is: 256,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,464.40 : 492,712.80 = 171,000.40 : x
  2. Step 2: Convert to fraction form
    328,464.40/492,712.80 = 171,000.40/x
  3. Step 3: Cross multiply
    328,464.40x = 492,712.80 × 171,000.40
  4. Step 4: Simplify right side
    328,464.40x = 84,254,085,885.12
  5. Step 5: Solve for x
    x = 84,254,085,885.12/328,464.40
  6. Step 6: Final answer
    x = 256,509.03

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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.