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Finding the Fourth Proportional to 469,896.96, 648,458.46 and 255,037.02

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Solution

The fourth proportional to 469,896.96, 648,458.46 and 255,037.02 is: 351,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,896.96 : 648,458.46 = 255,037.02 : x
  2. Step 2: Convert to fraction form
    469,896.96/648,458.46 = 255,037.02/x
  3. Step 3: Cross multiply
    469,896.96x = 648,458.46 × 255,037.02
  4. Step 4: Simplify right side
    469,896.96x = 165,380,913,232.19
  5. Step 5: Solve for x
    x = 165,380,913,232.19/469,896.96
  6. Step 6: Final answer
    x = 351,951.44

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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.