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Finding the Fourth Proportional to 294,280.14, 406,078.50 and 165,189.04

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Solution

The fourth proportional to 294,280.14, 406,078.50 and 165,189.04 is: 227,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,280.14 : 406,078.50 = 165,189.04 : x
  2. Step 2: Convert to fraction form
    294,280.14/406,078.50 = 165,189.04/x
  3. Step 3: Cross multiply
    294,280.14x = 406,078.50 × 165,189.04
  4. Step 4: Simplify right side
    294,280.14x = 67,079,717,579.64
  5. Step 5: Solve for x
    x = 67,079,717,579.64/294,280.14
  6. Step 6: Final answer
    x = 227,945.11

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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.