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Finding the Fourth Proportional to 359,709.45, 496,393.08 and 198,560.34

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Solution

The fourth proportional to 359,709.45, 496,393.08 and 198,560.34 is: 274,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,709.45 : 496,393.08 = 198,560.34 : x
  2. Step 2: Convert to fraction form
    359,709.45/496,393.08 = 198,560.34/x
  3. Step 3: Cross multiply
    359,709.45x = 496,393.08 × 198,560.34
  4. Step 4: Simplify right side
    359,709.45x = 98,563,978,738.45
  5. Step 5: Solve for x
    x = 98,563,978,738.45/359,709.45
  6. Step 6: Final answer
    x = 274,009.98

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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.