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Finding the Fourth Proportional to 365,564.88, 546,831 and 343,170

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Solution

The fourth proportional to 365,564.88, 546,831 and 343,170 is: 513,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,564.88 : 546,831 = 343,170 : x
  2. Step 2: Convert to fraction form
    365,564.88/546,831 = 343,170/x
  3. Step 3: Cross multiply
    365,564.88x = 546,831 × 343,170
  4. Step 4: Simplify right side
    365,564.88x = 187,655,994,270
  5. Step 5: Solve for x
    x = 187,655,994,270/365,564.88
  6. Step 6: Final answer
    x = 513,331.57

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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.