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Finding the Fourth Proportional to 315,794.42, 436,087.26 and 202,814

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Solution

The fourth proportional to 315,794.42, 436,087.26 and 202,814 is: 280,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,794.42 : 436,087.26 = 202,814 : x
  2. Step 2: Convert to fraction form
    315,794.42/436,087.26 = 202,814/x
  3. Step 3: Cross multiply
    315,794.42x = 436,087.26 × 202,814
  4. Step 4: Simplify right side
    315,794.42x = 88,444,601,549.64
  5. Step 5: Solve for x
    x = 88,444,601,549.64/315,794.42
  6. Step 6: Final answer
    x = 280,070.18

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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.