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Finding the Fourth Proportional to 617,106.90, 925,728.39 and 196,284.36

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Solution

The fourth proportional to 617,106.90, 925,728.39 and 196,284.36 is: 294,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,106.90 : 925,728.39 = 196,284.36 : x
  2. Step 2: Convert to fraction form
    617,106.90/925,728.39 = 196,284.36/x
  3. Step 3: Cross multiply
    617,106.90x = 925,728.39 × 196,284.36
  4. Step 4: Simplify right side
    617,106.90x = 181,706,004,564.98
  5. Step 5: Solve for x
    x = 181,706,004,564.98/617,106.90
  6. Step 6: Final answer
    x = 294,448.18

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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.