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Finding the Fourth Proportional to 411,994.94, 568,506.03 and 230,681.66

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Solution

The fourth proportional to 411,994.94, 568,506.03 and 230,681.66 is: 318,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,994.94 : 568,506.03 = 230,681.66 : x
  2. Step 2: Convert to fraction form
    411,994.94/568,506.03 = 230,681.66/x
  3. Step 3: Cross multiply
    411,994.94x = 568,506.03 × 230,681.66
  4. Step 4: Simplify right side
    411,994.94x = 131,143,914,720.41
  5. Step 5: Solve for x
    x = 131,143,914,720.41/411,994.94
  6. Step 6: Final answer
    x = 318,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.