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Finding the Fourth Proportional to 430,716.16, 641,654.20 and 411,285.36

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Solution

The fourth proportional to 430,716.16, 641,654.20 and 411,285.36 is: 612,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,716.16 : 641,654.20 = 411,285.36 : x
  2. Step 2: Convert to fraction form
    430,716.16/641,654.20 = 411,285.36/x
  3. Step 3: Cross multiply
    430,716.16x = 641,654.20 × 411,285.36
  4. Step 4: Simplify right side
    430,716.16x = 263,902,978,642.51
  5. Step 5: Solve for x
    x = 263,902,978,642.51/430,716.16
  6. Step 6: Final answer
    x = 612,707.40

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