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Finding the Fourth Proportional to 241,736.40, 362,604.60 and 214,779.60

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Solution

The fourth proportional to 241,736.40, 362,604.60 and 214,779.60 is: 322,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,736.40 : 362,604.60 = 214,779.60 : x
  2. Step 2: Convert to fraction form
    241,736.40/362,604.60 = 214,779.60/x
  3. Step 3: Cross multiply
    241,736.40x = 362,604.60 × 214,779.60
  4. Step 4: Simplify right side
    241,736.40x = 77,880,070,946.16
  5. Step 5: Solve for x
    x = 77,880,070,946.16/241,736.40
  6. Step 6: Final answer
    x = 322,169.40

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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.