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Finding the Fourth Proportional to 522,168, 783,326.75 and 198,075.26

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Solution

The fourth proportional to 522,168, 783,326.75 and 198,075.26 is: 297,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,168 : 783,326.75 = 198,075.26 : x
  2. Step 2: Convert to fraction form
    522,168/783,326.75 = 198,075.26/x
  3. Step 3: Cross multiply
    522,168x = 783,326.75 × 198,075.26
  4. Step 4: Simplify right side
    522,168x = 155,157,644,764.20
  5. Step 5: Solve for x
    x = 155,157,644,764.20/522,168
  6. Step 6: Final answer
    x = 297,141.24

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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.