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Finding the Fourth Proportional to 289,597.88, 399,644.70 and 162,274.34

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Solution

The fourth proportional to 289,597.88, 399,644.70 and 162,274.34 is: 223,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,597.88 : 399,644.70 = 162,274.34 : x
  2. Step 2: Convert to fraction form
    289,597.88/399,644.70 = 162,274.34/x
  3. Step 3: Cross multiply
    289,597.88x = 399,644.70 × 162,274.34
  4. Step 4: Simplify right side
    289,597.88x = 64,852,079,927.00
  5. Step 5: Solve for x
    x = 64,852,079,927.00/289,597.88
  6. Step 6: Final answer
    x = 223,938.38

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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.