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Finding the Fourth Proportional to 499,932, 689,906.16 and 273,577.50

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Solution

The fourth proportional to 499,932, 689,906.16 and 273,577.50 is: 377,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,932 : 689,906.16 = 273,577.50 : x
  2. Step 2: Convert to fraction form
    499,932/689,906.16 = 273,577.50/x
  3. Step 3: Cross multiply
    499,932x = 689,906.16 × 273,577.50
  4. Step 4: Simplify right side
    499,932x = 188,742,802,487.40
  5. Step 5: Solve for x
    x = 188,742,802,487.40/499,932
  6. Step 6: Final answer
    x = 377,536.95

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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.