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Finding the Fourth Proportional to 411,859.76, 568,339.74 and 230,570.15

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Solution

The fourth proportional to 411,859.76, 568,339.74 and 230,570.15 is: 318,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,859.76 : 568,339.74 = 230,570.15 : x
  2. Step 2: Convert to fraction form
    411,859.76/568,339.74 = 230,570.15/x
  3. Step 3: Cross multiply
    411,859.76x = 568,339.74 × 230,570.15
  4. Step 4: Simplify right side
    411,859.76x = 131,042,176,261.06
  5. Step 5: Solve for x
    x = 131,042,176,261.06/411,859.76
  6. Step 6: Final answer
    x = 318,171.84

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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.