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Finding the Fourth Proportional to 353,458.80, 487,736.64 and 200,466

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Solution

The fourth proportional to 353,458.80, 487,736.64 and 200,466 is: 276,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,458.80 : 487,736.64 = 200,466 : x
  2. Step 2: Convert to fraction form
    353,458.80/487,736.64 = 200,466/x
  3. Step 3: Cross multiply
    353,458.80x = 487,736.64 × 200,466
  4. Step 4: Simplify right side
    353,458.80x = 97,774,613,274.24
  5. Step 5: Solve for x
    x = 97,774,613,274.24/353,458.80
  6. Step 6: Final answer
    x = 276,622.38

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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.