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Finding the Fourth Proportional to 397,341.70, 596,012.56 and 116,858.96

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Solution

The fourth proportional to 397,341.70, 596,012.56 and 116,858.96 is: 175,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,341.70 : 596,012.56 = 116,858.96 : x
  2. Step 2: Convert to fraction form
    397,341.70/596,012.56 = 116,858.96/x
  3. Step 3: Cross multiply
    397,341.70x = 596,012.56 × 116,858.96
  4. Step 4: Simplify right side
    397,341.70x = 69,649,407,908.54
  5. Step 5: Solve for x
    x = 69,649,407,908.54/397,341.70
  6. Step 6: Final answer
    x = 175,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.