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Finding the Fourth Proportional to 428,431.68, 638,817.18 and 416,661.06

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Solution

The fourth proportional to 428,431.68, 638,817.18 and 416,661.06 is: 621,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,431.68 : 638,817.18 = 416,661.06 : x
  2. Step 2: Convert to fraction form
    428,431.68/638,817.18 = 416,661.06/x
  3. Step 3: Cross multiply
    428,431.68x = 638,817.18 × 416,661.06
  4. Step 4: Simplify right side
    428,431.68x = 266,170,243,365.01
  5. Step 5: Solve for x
    x = 266,170,243,365.01/428,431.68
  6. Step 6: Final answer
    x = 621,266.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.