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Finding the Fourth Proportional to 764,406.79, 1,054,893.17 and 420,257.63

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Solution

The fourth proportional to 764,406.79, 1,054,893.17 and 420,257.63 is: 579,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,406.79 : 1,054,893.17 = 420,257.63 : x
  2. Step 2: Convert to fraction form
    764,406.79/1,054,893.17 = 420,257.63/x
  3. Step 3: Cross multiply
    764,406.79x = 1,054,893.17 × 420,257.63
  4. Step 4: Simplify right side
    764,406.79x = 443,326,901,426.10
  5. Step 5: Solve for x
    x = 443,326,901,426.10/764,406.79
  6. Step 6: Final answer
    x = 579,962.02

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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.