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Finding the Fourth Proportional to 357,537.87, 493,196.14 and 214,214.88

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Solution

The fourth proportional to 357,537.87, 493,196.14 and 214,214.88 is: 295,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,537.87 : 493,196.14 = 214,214.88 : x
  2. Step 2: Convert to fraction form
    357,537.87/493,196.14 = 214,214.88/x
  3. Step 3: Cross multiply
    357,537.87x = 493,196.14 × 214,214.88
  4. Step 4: Simplify right side
    357,537.87x = 105,649,951,289.59
  5. Step 5: Solve for x
    x = 105,649,951,289.59/357,537.87
  6. Step 6: Final answer
    x = 295,493.04

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1.5x scale

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.