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Finding the Fourth Proportional to 764,065.96, 1,146,137.02 and 290,788

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Solution

The fourth proportional to 764,065.96, 1,146,137.02 and 290,788 is: 436,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,065.96 : 1,146,137.02 = 290,788 : x
  2. Step 2: Convert to fraction form
    764,065.96/1,146,137.02 = 290,788/x
  3. Step 3: Cross multiply
    764,065.96x = 1,146,137.02 × 290,788
  4. Step 4: Simplify right side
    764,065.96x = 333,282,891,771.76
  5. Step 5: Solve for x
    x = 333,282,891,771.76/764,065.96
  6. Step 6: Final answer
    x = 436,196.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.