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Finding the Fourth Proportional to 784,728, 1,082,928.96 and 427,032

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Solution

The fourth proportional to 784,728, 1,082,928.96 and 427,032 is: 589,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,728 : 1,082,928.96 = 427,032 : x
  2. Step 2: Convert to fraction form
    784,728/1,082,928.96 = 427,032/x
  3. Step 3: Cross multiply
    784,728x = 1,082,928.96 × 427,032
  4. Step 4: Simplify right side
    784,728x = 462,445,319,646.72
  5. Step 5: Solve for x
    x = 462,445,319,646.72/784,728
  6. Step 6: Final answer
    x = 589,306.51

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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.