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Finding the Fourth Proportional to 500,058, 690,086.52 and 273,698.64

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Solution

The fourth proportional to 500,058, 690,086.52 and 273,698.64 is: 377,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,058 : 690,086.52 = 273,698.64 : x
  2. Step 2: Convert to fraction form
    500,058/690,086.52 = 273,698.64/x
  3. Step 3: Cross multiply
    500,058x = 690,086.52 × 273,698.64
  4. Step 4: Simplify right side
    500,058x = 188,875,742,006.33
  5. Step 5: Solve for x
    x = 188,875,742,006.33/500,058
  6. Step 6: Final answer
    x = 377,707.67

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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.