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Finding the Fourth Proportional to 426,431.91, 587,775.23 and 302,295.20

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Solution

The fourth proportional to 426,431.91, 587,775.23 and 302,295.20 is: 416,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,431.91 : 587,775.23 = 302,295.20 : x
  2. Step 2: Convert to fraction form
    426,431.91/587,775.23 = 302,295.20/x
  3. Step 3: Cross multiply
    426,431.91x = 587,775.23 × 302,295.20
  4. Step 4: Simplify right side
    426,431.91x = 177,681,626,257.54
  5. Step 5: Solve for x
    x = 177,681,626,257.54/426,431.91
  6. Step 6: Final answer
    x = 416,670.57

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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.