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Finding the Fourth Proportional to 321,333.89, 482,289.93 and 171,702.08

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Solution

The fourth proportional to 321,333.89, 482,289.93 and 171,702.08 is: 257,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,333.89 : 482,289.93 = 171,702.08 : x
  2. Step 2: Convert to fraction form
    321,333.89/482,289.93 = 171,702.08/x
  3. Step 3: Cross multiply
    321,333.89x = 482,289.93 × 171,702.08
  4. Step 4: Simplify right side
    321,333.89x = 82,810,184,144.05
  5. Step 5: Solve for x
    x = 82,810,184,144.05/321,333.89
  6. Step 6: Final answer
    x = 257,707.60

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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.