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Finding the Fourth Proportional to 409,536, 614,304 and 114,048

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Solution

The fourth proportional to 409,536, 614,304 and 114,048 is: 171,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536 : 614,304 = 114,048 : x
  2. Step 2: Convert to fraction form
    409,536/614,304 = 114,048/x
  3. Step 3: Cross multiply
    409,536x = 614,304 × 114,048
  4. Step 4: Simplify right side
    409,536x = 70,060,142,592
  5. Step 5: Solve for x
    x = 70,060,142,592/409,536
  6. Step 6: Final answer
    x = 171,072

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Why These Related Problems?

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