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Finding the Fourth Proportional to 411,808.90, 568,254.81 and 230,509.06

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Solution

The fourth proportional to 411,808.90, 568,254.81 and 230,509.06 is: 318,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,808.90 : 568,254.81 = 230,509.06 : x
  2. Step 2: Convert to fraction form
    411,808.90/568,254.81 = 230,509.06/x
  3. Step 3: Cross multiply
    411,808.90x = 568,254.81 × 230,509.06
  4. Step 4: Simplify right side
    411,808.90x = 130,987,882,093.58
  5. Step 5: Solve for x
    x = 130,987,882,093.58/411,808.90
  6. Step 6: Final answer
    x = 318,079.29

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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.