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Finding the Fourth Proportional to 984,643.10, 1,476,964.65 and 978,422.30

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Solution

The fourth proportional to 984,643.10, 1,476,964.65 and 978,422.30 is: 1,467,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,643.10 : 1,476,964.65 = 978,422.30 : x
  2. Step 2: Convert to fraction form
    984,643.10/1,476,964.65 = 978,422.30/x
  3. Step 3: Cross multiply
    984,643.10x = 1,476,964.65 × 978,422.30
  4. Step 4: Simplify right side
    984,643.10x = 1,445,095,149,871.70
  5. Step 5: Solve for x
    x = 1,445,095,149,871.70/984,643.10
  6. Step 6: Final answer
    x = 1,467,633.45

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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.