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Finding the Fourth Proportional to 341,209.80, 511,814.70 and 262,477.80

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Solution

The fourth proportional to 341,209.80, 511,814.70 and 262,477.80 is: 393,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,209.80 : 511,814.70 = 262,477.80 : x
  2. Step 2: Convert to fraction form
    341,209.80/511,814.70 = 262,477.80/x
  3. Step 3: Cross multiply
    341,209.80x = 511,814.70 × 262,477.80
  4. Step 4: Simplify right side
    341,209.80x = 134,339,996,463.66
  5. Step 5: Solve for x
    x = 134,339,996,463.66/341,209.80
  6. Step 6: Final answer
    x = 393,716.70

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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.