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Finding the Fourth Proportional to 656,428.80, 984,643.20 and 490,540.80

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Solution

The fourth proportional to 656,428.80, 984,643.20 and 490,540.80 is: 735,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,428.80 : 984,643.20 = 490,540.80 : x
  2. Step 2: Convert to fraction form
    656,428.80/984,643.20 = 490,540.80/x
  3. Step 3: Cross multiply
    656,428.80x = 984,643.20 × 490,540.80
  4. Step 4: Simplify right side
    656,428.80x = 483,007,663,042.56
  5. Step 5: Solve for x
    x = 483,007,663,042.56/656,428.80
  6. Step 6: Final answer
    x = 735,811.20

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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.