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Finding the Fourth Proportional to 500,070, 690,096.60 and 273,715.50

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Solution

The fourth proportional to 500,070, 690,096.60 and 273,715.50 is: 377,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,070 : 690,096.60 = 273,715.50 : x
  2. Step 2: Convert to fraction form
    500,070/690,096.60 = 273,715.50/x
  3. Step 3: Cross multiply
    500,070x = 690,096.60 × 273,715.50
  4. Step 4: Simplify right side
    500,070x = 188,890,135,917.30
  5. Step 5: Solve for x
    x = 188,890,135,917.30/500,070
  6. Step 6: Final answer
    x = 377,727.39

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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.