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Finding the Fourth Proportional to 476,633.98, 713,857.47 and 276,457.87

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Solution

The fourth proportional to 476,633.98, 713,857.47 and 276,457.87 is: 414,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,633.98 : 713,857.47 = 276,457.87 : x
  2. Step 2: Convert to fraction form
    476,633.98/713,857.47 = 276,457.87/x
  3. Step 3: Cross multiply
    476,633.98x = 713,857.47 × 276,457.87
  4. Step 4: Simplify right side
    476,633.98x = 197,351,515,639.79
  5. Step 5: Solve for x
    x = 197,351,515,639.79/476,633.98
  6. Step 6: Final answer
    x = 414,052.55

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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.