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Finding the Fourth Proportional to 296,580.26, 409,466.68 and 228,468.98

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Solution

The fourth proportional to 296,580.26, 409,466.68 and 228,468.98 is: 315,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,580.26 : 409,466.68 = 228,468.98 : x
  2. Step 2: Convert to fraction form
    296,580.26/409,466.68 = 228,468.98/x
  3. Step 3: Cross multiply
    296,580.26x = 409,466.68 × 228,468.98
  4. Step 4: Simplify right side
    296,580.26x = 93,550,434,723.59
  5. Step 5: Solve for x
    x = 93,550,434,723.59/296,580.26
  6. Step 6: Final answer
    x = 315,430.42

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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.