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Finding the Fourth Proportional to 341,052.64, 470,680.72 and 188,120.80

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Solution

The fourth proportional to 341,052.64, 470,680.72 and 188,120.80 is: 259,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,052.64 : 470,680.72 = 188,120.80 : x
  2. Step 2: Convert to fraction form
    341,052.64/470,680.72 = 188,120.80/x
  3. Step 3: Cross multiply
    341,052.64x = 470,680.72 × 188,120.80
  4. Step 4: Simplify right side
    341,052.64x = 88,544,833,590.98
  5. Step 5: Solve for x
    x = 88,544,833,590.98/341,052.64
  6. Step 6: Final answer
    x = 259,622.19

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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.