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Finding the Fourth Proportional to 264,778.34, 365,570.06 and 203,415.24

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Solution

The fourth proportional to 264,778.34, 365,570.06 and 203,415.24 is: 280,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,778.34 : 365,570.06 = 203,415.24 : x
  2. Step 2: Convert to fraction form
    264,778.34/365,570.06 = 203,415.24/x
  3. Step 3: Cross multiply
    264,778.34x = 365,570.06 × 203,415.24
  4. Step 4: Simplify right side
    264,778.34x = 74,362,522,457.22
  5. Step 5: Solve for x
    x = 74,362,522,457.22/264,778.34
  6. Step 6: Final answer
    x = 280,848.21

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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.