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Finding the Fourth Proportional to 764,409.80, 1,054,897.32 and 420,260.64

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Solution

The fourth proportional to 764,409.80, 1,054,897.32 and 420,260.64 is: 579,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,409.80 : 1,054,897.32 = 420,260.64 : x
  2. Step 2: Convert to fraction form
    764,409.80/1,054,897.32 = 420,260.64/x
  3. Step 3: Cross multiply
    764,409.80x = 1,054,897.32 × 420,260.64
  4. Step 4: Simplify right side
    764,409.80x = 443,331,822,837.49
  5. Step 5: Solve for x
    x = 443,331,822,837.49/764,409.80
  6. Step 6: Final answer
    x = 579,966.17

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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.