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Finding the Fourth Proportional to 652,102.14, 978,156.69 and 296,867.82

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Solution

The fourth proportional to 652,102.14, 978,156.69 and 296,867.82 is: 445,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,102.14 : 978,156.69 = 296,867.82 : x
  2. Step 2: Convert to fraction form
    652,102.14/978,156.69 = 296,867.82/x
  3. Step 3: Cross multiply
    652,102.14x = 978,156.69 × 296,867.82
  4. Step 4: Simplify right side
    652,102.14x = 290,383,244,178.72
  5. Step 5: Solve for x
    x = 290,383,244,178.72/652,102.14
  6. Step 6: Final answer
    x = 445,303.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.