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Finding the Fourth Proportional to 746,448, 1,030,233.24 and 440,505.60

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Solution

The fourth proportional to 746,448, 1,030,233.24 and 440,505.60 is: 607,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,448 : 1,030,233.24 = 440,505.60 : x
  2. Step 2: Convert to fraction form
    746,448/1,030,233.24 = 440,505.60/x
  3. Step 3: Cross multiply
    746,448x = 1,030,233.24 × 440,505.60
  4. Step 4: Simplify right side
    746,448x = 453,823,511,526.14
  5. Step 5: Solve for x
    x = 453,823,511,526.14/746,448
  6. Step 6: Final answer
    x = 607,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.