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Finding the Fourth Proportional to 304,497.36, 420,171.30 and 175,454.64

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Solution

The fourth proportional to 304,497.36, 420,171.30 and 175,454.64 is: 242,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,497.36 : 420,171.30 = 175,454.64 : x
  2. Step 2: Convert to fraction form
    304,497.36/420,171.30 = 175,454.64/x
  3. Step 3: Cross multiply
    304,497.36x = 420,171.30 × 175,454.64
  4. Step 4: Simplify right side
    304,497.36x = 73,721,004,179.83
  5. Step 5: Solve for x
    x = 73,721,004,179.83/304,497.36
  6. Step 6: Final answer
    x = 242,107.20

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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.