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Finding the Fourth Proportional to 402,706.20, 604,059.30 and 192,754.20

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Solution

The fourth proportional to 402,706.20, 604,059.30 and 192,754.20 is: 289,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,706.20 : 604,059.30 = 192,754.20 : x
  2. Step 2: Convert to fraction form
    402,706.20/604,059.30 = 192,754.20/x
  3. Step 3: Cross multiply
    402,706.20x = 604,059.30 × 192,754.20
  4. Step 4: Simplify right side
    402,706.20x = 116,434,967,124.06
  5. Step 5: Solve for x
    x = 116,434,967,124.06/402,706.20
  6. Step 6: Final answer
    x = 289,131.30

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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.