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Finding the Fourth Proportional to 652,102.64, 978,157.44 and 296,868.32

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Solution

The fourth proportional to 652,102.64, 978,157.44 and 296,868.32 is: 445,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,102.64 : 978,157.44 = 296,868.32 : x
  2. Step 2: Convert to fraction form
    652,102.64/978,157.44 = 296,868.32/x
  3. Step 3: Cross multiply
    652,102.64x = 978,157.44 × 296,868.32
  4. Step 4: Simplify right side
    652,102.64x = 290,383,955,908.30
  5. Step 5: Solve for x
    x = 290,383,955,908.30/652,102.64
  6. Step 6: Final answer
    x = 445,304.06

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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.