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Finding the Fourth Proportional to 341,546.32, 511,634.22 and 313,643.85

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Solution

The fourth proportional to 341,546.32, 511,634.22 and 313,643.85 is: 469,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,546.32 : 511,634.22 = 313,643.85 : x
  2. Step 2: Convert to fraction form
    341,546.32/511,634.22 = 313,643.85/x
  3. Step 3: Cross multiply
    341,546.32x = 511,634.22 × 313,643.85
  4. Step 4: Simplify right side
    341,546.32x = 160,470,925,222.00
  5. Step 5: Solve for x
    x = 160,470,925,222.00/341,546.32
  6. Step 6: Final answer
    x = 469,836.49

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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.