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Finding the Fourth Proportional to 245,980.50, 338,738.46 and 213,700.38

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Solution

The fourth proportional to 245,980.50, 338,738.46 and 213,700.38 is: 294,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,980.50 : 338,738.46 = 213,700.38 : x
  2. Step 2: Convert to fraction form
    245,980.50/338,738.46 = 213,700.38/x
  3. Step 3: Cross multiply
    245,980.50x = 338,738.46 × 213,700.38
  4. Step 4: Simplify right side
    245,980.50x = 72,388,537,622.61
  5. Step 5: Solve for x
    x = 72,388,537,622.61/245,980.50
  6. Step 6: Final answer
    x = 294,285.68

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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.