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Finding the Fourth Proportional to 304,794.24, 420,580.11 and 175,731.27

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Solution

The fourth proportional to 304,794.24, 420,580.11 and 175,731.27 is: 242,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,794.24 : 420,580.11 = 175,731.27 : x
  2. Step 2: Convert to fraction form
    304,794.24/420,580.11 = 175,731.27/x
  3. Step 3: Cross multiply
    304,794.24x = 420,580.11 × 175,731.27
  4. Step 4: Simplify right side
    304,794.24x = 73,909,076,867.04
  5. Step 5: Solve for x
    x = 73,909,076,867.04/304,794.24
  6. Step 6: Final answer
    x = 242,488.43

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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.