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Finding the Fourth Proportional to 646,575.96, 892,302.48 and 360,096

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Solution

The fourth proportional to 646,575.96, 892,302.48 and 360,096 is: 496,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,575.96 : 892,302.48 = 360,096 : x
  2. Step 2: Convert to fraction form
    646,575.96/892,302.48 = 360,096/x
  3. Step 3: Cross multiply
    646,575.96x = 892,302.48 × 360,096
  4. Step 4: Simplify right side
    646,575.96x = 321,314,553,838.08
  5. Step 5: Solve for x
    x = 321,314,553,838.08/646,575.96
  6. Step 6: Final answer
    x = 496,947.88

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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.