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Finding the Fourth Proportional to 296,858.46, 409,335.04 and 228,723.42

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Solution

The fourth proportional to 296,858.46, 409,335.04 and 228,723.42 is: 315,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,858.46 : 409,335.04 = 228,723.42 : x
  2. Step 2: Convert to fraction form
    296,858.46/409,335.04 = 228,723.42/x
  3. Step 3: Cross multiply
    296,858.46x = 409,335.04 × 228,723.42
  4. Step 4: Simplify right side
    296,858.46x = 93,624,510,274.64
  5. Step 5: Solve for x
    x = 93,624,510,274.64/296,858.46
  6. Step 6: Final answer
    x = 315,384.34

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Why These Related Problems?

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