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Finding the Fourth Proportional to 301,806.70, 416,468.87 and 174,490.50

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Solution

The fourth proportional to 301,806.70, 416,468.87 and 174,490.50 is: 240,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806.70 : 416,468.87 = 174,490.50 : x
  2. Step 2: Convert to fraction form
    301,806.70/416,468.87 = 174,490.50/x
  3. Step 3: Cross multiply
    301,806.70x = 416,468.87 × 174,490.50
  4. Step 4: Simplify right side
    301,806.70x = 72,669,860,755.79
  5. Step 5: Solve for x
    x = 72,669,860,755.79/301,806.70
  6. Step 6: Final answer
    x = 240,782.79

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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.