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Finding the Fourth Proportional to 341,216.64, 511,409.89 and 241,405.61

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Solution

The fourth proportional to 341,216.64, 511,409.89 and 241,405.61 is: 361,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,216.64 : 511,409.89 = 241,405.61 : x
  2. Step 2: Convert to fraction form
    341,216.64/511,409.89 = 241,405.61/x
  3. Step 3: Cross multiply
    341,216.64x = 511,409.89 × 241,405.61
  4. Step 4: Simplify right side
    341,216.64x = 123,457,212,691.41
  5. Step 5: Solve for x
    x = 123,457,212,691.41/341,216.64
  6. Step 6: Final answer
    x = 361,814.75

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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.