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Finding the Fourth Proportional to 304,078.81, 419,695.37 and 176,827.81

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Solution

The fourth proportional to 304,078.81, 419,695.37 and 176,827.81 is: 244,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,078.81 : 419,695.37 = 176,827.81 : x
  2. Step 2: Convert to fraction form
    304,078.81/419,695.37 = 176,827.81/x
  3. Step 3: Cross multiply
    304,078.81x = 419,695.37 × 176,827.81
  4. Step 4: Simplify right side
    304,078.81x = 74,213,812,537.07
  5. Step 5: Solve for x
    x = 74,213,812,537.07/304,078.81
  6. Step 6: Final answer
    x = 244,061.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.