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Finding the Fourth Proportional to 476,391.68, 713,537.76 and 265,506.56

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Solution

The fourth proportional to 476,391.68, 713,537.76 and 265,506.56 is: 397,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,391.68 : 713,537.76 = 265,506.56 : x
  2. Step 2: Convert to fraction form
    476,391.68/713,537.76 = 265,506.56/x
  3. Step 3: Cross multiply
    476,391.68x = 713,537.76 × 265,506.56
  4. Step 4: Simplify right side
    476,391.68x = 189,448,956,087.71
  5. Step 5: Solve for x
    x = 189,448,956,087.71/476,391.68
  6. Step 6: Final answer
    x = 397,674.78

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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.