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Finding the Fourth Proportional to 341,668.80, 511,900.56 and 208,232.64

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Solution

The fourth proportional to 341,668.80, 511,900.56 and 208,232.64 is: 311,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,668.80 : 511,900.56 = 208,232.64 : x
  2. Step 2: Convert to fraction form
    341,668.80/511,900.56 = 208,232.64/x
  3. Step 3: Cross multiply
    341,668.80x = 511,900.56 × 208,232.64
  4. Step 4: Simplify right side
    341,668.80x = 106,594,405,026.28
  5. Step 5: Solve for x
    x = 106,594,405,026.28/341,668.80
  6. Step 6: Final answer
    x = 311,981.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.