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Finding the Fourth Proportional to 357,273.64, 493,037.84 and 214,116.76

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Solution

The fourth proportional to 357,273.64, 493,037.84 and 214,116.76 is: 295,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,273.64 : 493,037.84 = 214,116.76 : x
  2. Step 2: Convert to fraction form
    357,273.64/493,037.84 = 214,116.76/x
  3. Step 3: Cross multiply
    357,273.64x = 493,037.84 × 214,116.76
  4. Step 4: Simplify right side
    357,273.64x = 105,567,664,858.20
  5. Step 5: Solve for x
    x = 105,567,664,858.20/357,273.64
  6. Step 6: Final answer
    x = 295,481.26

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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.