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Finding the Fourth Proportional to 217,415.10, 304,934.10 and 217,415.10

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Solution

The fourth proportional to 217,415.10, 304,934.10 and 217,415.10 is: 304,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,415.10 : 304,934.10 = 217,415.10 : x
  2. Step 2: Convert to fraction form
    217,415.10/304,934.10 = 217,415.10/x
  3. Step 3: Cross multiply
    217,415.10x = 304,934.10 × 217,415.10
  4. Step 4: Simplify right side
    217,415.10x = 66,297,277,844.91
  5. Step 5: Solve for x
    x = 66,297,277,844.91/217,415.10
  6. Step 6: Final answer
    x = 304,934.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.