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Finding the Fourth Proportional to 764,287.74, 1,054,705.14 and 420,116.22

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Solution

The fourth proportional to 764,287.74, 1,054,705.14 and 420,116.22 is: 579,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,287.74 : 1,054,705.14 = 420,116.22 : x
  2. Step 2: Convert to fraction form
    764,287.74/1,054,705.14 = 420,116.22/x
  3. Step 3: Cross multiply
    764,287.74x = 1,054,705.14 × 420,116.22
  4. Step 4: Simplify right side
    764,287.74x = 443,098,736,631.37
  5. Step 5: Solve for x
    x = 443,098,736,631.37/764,287.74
  6. Step 6: Final answer
    x = 579,753.82

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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.