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Finding the Fourth Proportional to 965,102.40, 1,448,575.20 and 825,019.20

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Solution

The fourth proportional to 965,102.40, 1,448,575.20 and 825,019.20 is: 1,238,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,102.40 : 1,448,575.20 = 825,019.20 : x
  2. Step 2: Convert to fraction form
    965,102.40/1,448,575.20 = 825,019.20/x
  3. Step 3: Cross multiply
    965,102.40x = 1,448,575.20 × 825,019.20
  4. Step 4: Simplify right side
    965,102.40x = 1,195,102,352,643.84
  5. Step 5: Solve for x
    x = 1,195,102,352,643.84/965,102.40
  6. Step 6: Final answer
    x = 1,238,316.63

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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.