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Finding the Fourth Proportional to 357,999.84, 536,971.50 and 208,144.44

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Solution

The fourth proportional to 357,999.84, 536,971.50 and 208,144.44 is: 312,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,999.84 : 536,971.50 = 208,144.44 : x
  2. Step 2: Convert to fraction form
    357,999.84/536,971.50 = 208,144.44/x
  3. Step 3: Cross multiply
    357,999.84x = 536,971.50 × 208,144.44
  4. Step 4: Simplify right side
    357,999.84x = 111,767,632,163.46
  5. Step 5: Solve for x
    x = 111,767,632,163.46/357,999.84
  6. Step 6: Final answer
    x = 312,200.23

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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.