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Finding the Fourth Proportional to 476,451.72, 714,486.83 and 210,022.88

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Solution

The fourth proportional to 476,451.72, 714,486.83 and 210,022.88 is: 314,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,451.72 : 714,486.83 = 210,022.88 : x
  2. Step 2: Convert to fraction form
    476,451.72/714,486.83 = 210,022.88/x
  3. Step 3: Cross multiply
    476,451.72x = 714,486.83 × 210,022.88
  4. Step 4: Simplify right side
    476,451.72x = 150,058,577,136.12
  5. Step 5: Solve for x
    x = 150,058,577,136.12/476,451.72
  6. Step 6: Final answer
    x = 314,950.23

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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.