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Finding the Fourth Proportional to 346,542.72, 478,084.32 and 233,168.64

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Solution

The fourth proportional to 346,542.72, 478,084.32 and 233,168.64 is: 321,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,542.72 : 478,084.32 = 233,168.64 : x
  2. Step 2: Convert to fraction form
    346,542.72/478,084.32 = 233,168.64/x
  3. Step 3: Cross multiply
    346,542.72x = 478,084.32 × 233,168.64
  4. Step 4: Simplify right side
    346,542.72x = 111,474,270,699.73
  5. Step 5: Solve for x
    x = 111,474,270,699.73/346,542.72
  6. Step 6: Final answer
    x = 321,675.41

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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.