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Finding the Fourth Proportional to 409,618.49, 565,274.70 and 237,569.63

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Solution

The fourth proportional to 409,618.49, 565,274.70 and 237,569.63 is: 327,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618.49 : 565,274.70 = 237,569.63 : x
  2. Step 2: Convert to fraction form
    409,618.49/565,274.70 = 237,569.63/x
  3. Step 3: Cross multiply
    409,618.49x = 565,274.70 × 237,569.63
  4. Step 4: Simplify right side
    409,618.49x = 134,292,098,500.99
  5. Step 5: Solve for x
    x = 134,292,098,500.99/409,618.49
  6. Step 6: Final answer
    x = 327,846.77

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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.