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Finding the Fourth Proportional to 411,806.40, 568,251.36 and 230,506.56

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Solution

The fourth proportional to 411,806.40, 568,251.36 and 230,506.56 is: 318,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,806.40 : 568,251.36 = 230,506.56 : x
  2. Step 2: Convert to fraction form
    411,806.40/568,251.36 = 230,506.56/x
  3. Step 3: Cross multiply
    411,806.40x = 568,251.36 × 230,506.56
  4. Step 4: Simplify right side
    411,806.40x = 130,985,666,208.92
  5. Step 5: Solve for x
    x = 130,985,666,208.92/411,806.40
  6. Step 6: Final answer
    x = 318,075.84

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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.