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Finding the Fourth Proportional to 325,825.70, 489,175.95 and 208,019.30

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Solution

The fourth proportional to 325,825.70, 489,175.95 and 208,019.30 is: 312,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,825.70 : 489,175.95 = 208,019.30 : x
  2. Step 2: Convert to fraction form
    325,825.70/489,175.95 = 208,019.30/x
  3. Step 3: Cross multiply
    325,825.70x = 489,175.95 × 208,019.30
  4. Step 4: Simplify right side
    325,825.70x = 101,758,038,695.84
  5. Step 5: Solve for x
    x = 101,758,038,695.84/325,825.70
  6. Step 6: Final answer
    x = 312,308.20

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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.