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Finding the Fourth Proportional to 274,401.09, 411,068.97 and 202,222.98

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Solution

The fourth proportional to 274,401.09, 411,068.97 and 202,222.98 is: 302,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,401.09 : 411,068.97 = 202,222.98 : x
  2. Step 2: Convert to fraction form
    274,401.09/411,068.97 = 202,222.98/x
  3. Step 3: Cross multiply
    274,401.09x = 411,068.97 × 202,222.98
  4. Step 4: Simplify right side
    274,401.09x = 83,127,592,098.93
  5. Step 5: Solve for x
    x = 83,127,592,098.93/274,401.09
  6. Step 6: Final answer
    x = 302,941.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.