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Finding the Fourth Proportional to 341,643.10, 512,464.65 and 241,915.90

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Solution

The fourth proportional to 341,643.10, 512,464.65 and 241,915.90 is: 362,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,643.10 : 512,464.65 = 241,915.90 : x
  2. Step 2: Convert to fraction form
    341,643.10/512,464.65 = 241,915.90/x
  3. Step 3: Cross multiply
    341,643.10x = 512,464.65 × 241,915.90
  4. Step 4: Simplify right side
    341,643.10x = 123,973,347,022.94
  5. Step 5: Solve for x
    x = 123,973,347,022.94/341,643.10
  6. Step 6: Final answer
    x = 362,873.85

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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.