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Finding the Fourth Proportional to 349,546.10, 523,114.41 and 214,520.54

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Solution

The fourth proportional to 349,546.10, 523,114.41 and 214,520.54 is: 321,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,546.10 : 523,114.41 = 214,520.54 : x
  2. Step 2: Convert to fraction form
    349,546.10/523,114.41 = 214,520.54/x
  3. Step 3: Cross multiply
    349,546.10x = 523,114.41 × 214,520.54
  4. Step 4: Simplify right side
    349,546.10x = 112,218,785,714.98
  5. Step 5: Solve for x
    x = 112,218,785,714.98/349,546.10
  6. Step 6: Final answer
    x = 321,041.45

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1.5x scale

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.