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Finding the Fourth Proportional to 357,571.12, 493,241.84 and 214,248.11

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Solution

The fourth proportional to 357,571.12, 493,241.84 and 214,248.11 is: 295,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,571.12 : 493,241.84 = 214,248.11 : x
  2. Step 2: Convert to fraction form
    357,571.12/493,241.84 = 214,248.11/x
  3. Step 3: Cross multiply
    357,571.12x = 493,241.84 × 214,248.11
  4. Step 4: Simplify right side
    357,571.12x = 105,676,133,761.65
  5. Step 5: Solve for x
    x = 105,676,133,761.65/357,571.12
  6. Step 6: Final answer
    x = 295,538.79

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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.