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Finding the Fourth Proportional to 296,637.09, 409,246.22 and 219,298.42

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Solution

The fourth proportional to 296,637.09, 409,246.22 and 219,298.42 is: 302,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,637.09 : 409,246.22 = 219,298.42 : x
  2. Step 2: Convert to fraction form
    296,637.09/409,246.22 = 219,298.42/x
  3. Step 3: Cross multiply
    296,637.09x = 409,246.22 × 219,298.42
  4. Step 4: Simplify right side
    296,637.09x = 89,747,050,496.78
  5. Step 5: Solve for x
    x = 89,747,050,496.78/296,637.09
  6. Step 6: Final answer
    x = 302,548.31

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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.