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Finding the Fourth Proportional to 341,321.86, 512,211.34 and 141,642.46

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Solution

The fourth proportional to 341,321.86, 512,211.34 and 141,642.46 is: 212,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,321.86 : 512,211.34 = 141,642.46 : x
  2. Step 2: Convert to fraction form
    341,321.86/512,211.34 = 141,642.46/x
  3. Step 3: Cross multiply
    341,321.86x = 512,211.34 × 141,642.46
  4. Step 4: Simplify right side
    341,321.86x = 72,550,874,237.50
  5. Step 5: Solve for x
    x = 72,550,874,237.50/341,321.86
  6. Step 6: Final answer
    x = 212,558.53

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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.