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Finding the Fourth Proportional to 359,474.04, 496,132.34 and 214,297.64

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Solution

The fourth proportional to 359,474.04, 496,132.34 and 214,297.64 is: 295,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,474.04 : 496,132.34 = 214,297.64 : x
  2. Step 2: Convert to fraction form
    359,474.04/496,132.34 = 214,297.64/x
  3. Step 3: Cross multiply
    359,474.04x = 496,132.34 × 214,297.64
  4. Step 4: Simplify right side
    359,474.04x = 106,319,986,037.53
  5. Step 5: Solve for x
    x = 106,319,986,037.53/359,474.04
  6. Step 6: Final answer
    x = 295,765.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.