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Finding the Fourth Proportional to 656,416.44, 905,833.26 and 414,828.60

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Solution

The fourth proportional to 656,416.44, 905,833.26 and 414,828.60 is: 572,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,416.44 : 905,833.26 = 414,828.60 : x
  2. Step 2: Convert to fraction form
    656,416.44/905,833.26 = 414,828.60/x
  3. Step 3: Cross multiply
    656,416.44x = 905,833.26 × 414,828.60
  4. Step 4: Simplify right side
    656,416.44x = 375,765,543,079.24
  5. Step 5: Solve for x
    x = 375,765,543,079.24/656,416.44
  6. Step 6: Final answer
    x = 572,449.93

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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.