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Finding the Fourth Proportional to 298,255.50, 411,592.59 and 164,119.50

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Solution

The fourth proportional to 298,255.50, 411,592.59 and 164,119.50 is: 226,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,255.50 : 411,592.59 = 164,119.50 : x
  2. Step 2: Convert to fraction form
    298,255.50/411,592.59 = 164,119.50/x
  3. Step 3: Cross multiply
    298,255.50x = 411,592.59 × 164,119.50
  4. Step 4: Simplify right side
    298,255.50x = 67,550,370,074.51
  5. Step 5: Solve for x
    x = 67,550,370,074.51/298,255.50
  6. Step 6: Final answer
    x = 226,484.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.