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Finding the Fourth Proportional to 405,716.20, 608,574.30 and 264,711.40

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Solution

The fourth proportional to 405,716.20, 608,574.30 and 264,711.40 is: 397,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,716.20 : 608,574.30 = 264,711.40 : x
  2. Step 2: Convert to fraction form
    405,716.20/608,574.30 = 264,711.40/x
  3. Step 3: Cross multiply
    405,716.20x = 608,574.30 × 264,711.40
  4. Step 4: Simplify right side
    405,716.20x = 161,096,554,957.02
  5. Step 5: Solve for x
    x = 161,096,554,957.02/405,716.20
  6. Step 6: Final answer
    x = 397,067.10

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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.