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Finding the Fourth Proportional to 342,000.23, 471,895.34 and 214,618.41

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Solution

The fourth proportional to 342,000.23, 471,895.34 and 214,618.41 is: 296,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.23 : 471,895.34 = 214,618.41 : x
  2. Step 2: Convert to fraction form
    342,000.23/471,895.34 = 214,618.41/x
  3. Step 3: Cross multiply
    342,000.23x = 471,895.34 × 214,618.41
  4. Step 4: Simplify right side
    342,000.23x = 101,277,428,093.76
  5. Step 5: Solve for x
    x = 101,277,428,093.76/342,000.23
  6. Step 6: Final answer
    x = 296,132.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.