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Finding the Fourth Proportional to 312,475.83, 468,884.37 and 132,533.26

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Solution

The fourth proportional to 312,475.83, 468,884.37 and 132,533.26 is: 198,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,475.83 : 468,884.37 = 132,533.26 : x
  2. Step 2: Convert to fraction form
    312,475.83/468,884.37 = 132,533.26/x
  3. Step 3: Cross multiply
    312,475.83x = 468,884.37 × 132,533.26
  4. Step 4: Simplify right side
    312,475.83x = 62,142,774,119.15
  5. Step 5: Solve for x
    x = 62,142,774,119.15/312,475.83
  6. Step 6: Final answer
    x = 198,872.26

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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.