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Finding the Fourth Proportional to 264,904.40, 365,604.36 and 201,141.20

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Solution

The fourth proportional to 264,904.40, 365,604.36 and 201,141.20 is: 277,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,904.40 : 365,604.36 = 201,141.20 : x
  2. Step 2: Convert to fraction form
    264,904.40/365,604.36 = 201,141.20/x
  3. Step 3: Cross multiply
    264,904.40x = 365,604.36 × 201,141.20
  4. Step 4: Simplify right side
    264,904.40x = 73,538,099,695.63
  5. Step 5: Solve for x
    x = 73,538,099,695.63/264,904.40
  6. Step 6: Final answer
    x = 277,602.41

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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.