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Finding the Fourth Proportional to 294,943.38, 407,065.66 and 180,288.14

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Solution

The fourth proportional to 294,943.38, 407,065.66 and 180,288.14 is: 248,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,943.38 : 407,065.66 = 180,288.14 : x
  2. Step 2: Convert to fraction form
    294,943.38/407,065.66 = 180,288.14/x
  3. Step 3: Cross multiply
    294,943.38x = 407,065.66 × 180,288.14
  4. Step 4: Simplify right side
    294,943.38x = 73,389,110,699.27
  5. Step 5: Solve for x
    x = 73,389,110,699.27/294,943.38
  6. Step 6: Final answer
    x = 248,824.40

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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.