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Finding the Fourth Proportional to 764,154, 1,146,405.96 and 265,518

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Solution

The fourth proportional to 764,154, 1,146,405.96 and 265,518 is: 398,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,154 : 1,146,405.96 = 265,518 : x
  2. Step 2: Convert to fraction form
    764,154/1,146,405.96 = 265,518/x
  3. Step 3: Cross multiply
    764,154x = 1,146,405.96 × 265,518
  4. Step 4: Simplify right side
    764,154x = 304,391,417,687.28
  5. Step 5: Solve for x
    x = 304,391,417,687.28/764,154
  6. Step 6: Final answer
    x = 398,337.79

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Why These Related Problems?

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