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Finding the Fourth Proportional to 321,678.90, 443,970.11 and 178,485.08

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Solution

The fourth proportional to 321,678.90, 443,970.11 and 178,485.08 is: 246,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678.90 : 443,970.11 = 178,485.08 : x
  2. Step 2: Convert to fraction form
    321,678.90/443,970.11 = 178,485.08/x
  3. Step 3: Cross multiply
    321,678.90x = 443,970.11 × 178,485.08
  4. Step 4: Simplify right side
    321,678.90x = 79,242,038,827.32
  5. Step 5: Solve for x
    x = 79,242,038,827.32/321,678.90
  6. Step 6: Final answer
    x = 246,338.94

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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.