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Finding the Fourth Proportional to 342,002.23, 471,898.10 and 214,620.41

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Solution

The fourth proportional to 342,002.23, 471,898.10 and 214,620.41 is: 296,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.23 : 471,898.10 = 214,620.41 : x
  2. Step 2: Convert to fraction form
    342,002.23/471,898.10 = 214,620.41/x
  3. Step 3: Cross multiply
    342,002.23x = 471,898.10 × 214,620.41
  4. Step 4: Simplify right side
    342,002.23x = 101,278,963,700.22
  5. Step 5: Solve for x
    x = 101,278,963,700.22/342,002.23
  6. Step 6: Final answer
    x = 296,135.39

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1.5x scale

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.