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Finding the Fourth Proportional to 307,394.08, 424,238.16 and 180,177.28

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Solution

The fourth proportional to 307,394.08, 424,238.16 and 180,177.28 is: 248,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,394.08 : 424,238.16 = 180,177.28 : x
  2. Step 2: Convert to fraction form
    307,394.08/424,238.16 = 180,177.28/x
  3. Step 3: Cross multiply
    307,394.08x = 424,238.16 × 180,177.28
  4. Step 4: Simplify right side
    307,394.08x = 76,438,077,741.00
  5. Step 5: Solve for x
    x = 76,438,077,741.00/307,394.08
  6. Step 6: Final answer
    x = 248,664.77

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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.