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Finding the Fourth Proportional to 346,002.90, 477,495.78 and 200,797.50

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Solution

The fourth proportional to 346,002.90, 477,495.78 and 200,797.50 is: 277,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,002.90 : 477,495.78 = 200,797.50 : x
  2. Step 2: Convert to fraction form
    346,002.90/477,495.78 = 200,797.50/x
  3. Step 3: Cross multiply
    346,002.90x = 477,495.78 × 200,797.50
  4. Step 4: Simplify right side
    346,002.90x = 95,879,958,884.55
  5. Step 5: Solve for x
    x = 95,879,958,884.55/346,002.90
  6. Step 6: Final answer
    x = 277,107.39

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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.