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Finding the Fourth Proportional to 729,842.32, 1,007,183.82 and 407,551.42

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Solution

The fourth proportional to 729,842.32, 1,007,183.82 and 407,551.42 is: 562,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,842.32 : 1,007,183.82 = 407,551.42 : x
  2. Step 2: Convert to fraction form
    729,842.32/1,007,183.82 = 407,551.42/x
  3. Step 3: Cross multiply
    729,842.32x = 1,007,183.82 × 407,551.42
  4. Step 4: Simplify right side
    729,842.32x = 410,479,196,042.02
  5. Step 5: Solve for x
    x = 410,479,196,042.02/729,842.32
  6. Step 6: Final answer
    x = 562,421.75

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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.