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Finding the Fourth Proportional to 410,945.68, 616,596.72 and 144,896.32

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Solution

The fourth proportional to 410,945.68, 616,596.72 and 144,896.32 is: 217,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,945.68 : 616,596.72 = 144,896.32 : x
  2. Step 2: Convert to fraction form
    410,945.68/616,596.72 = 144,896.32/x
  3. Step 3: Cross multiply
    410,945.68x = 616,596.72 × 144,896.32
  4. Step 4: Simplify right side
    410,945.68x = 89,342,595,652.07
  5. Step 5: Solve for x
    x = 89,342,595,652.07/410,945.68
  6. Step 6: Final answer
    x = 217,407.31

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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.