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Finding the Fourth Proportional to 484,812.40, 726,343.80 and 428,825.20

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Solution

The fourth proportional to 484,812.40, 726,343.80 and 428,825.20 is: 642,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,812.40 : 726,343.80 = 428,825.20 : x
  2. Step 2: Convert to fraction form
    484,812.40/726,343.80 = 428,825.20/x
  3. Step 3: Cross multiply
    484,812.40x = 726,343.80 × 428,825.20
  4. Step 4: Simplify right side
    484,812.40x = 311,474,525,303.76
  5. Step 5: Solve for x
    x = 311,474,525,303.76/484,812.40
  6. Step 6: Final answer
    x = 642,464.02

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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.