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Finding the Fourth Proportional to 437,653.80, 656,480.70 and 409,660.20

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Solution

The fourth proportional to 437,653.80, 656,480.70 and 409,660.20 is: 614,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,653.80 : 656,480.70 = 409,660.20 : x
  2. Step 2: Convert to fraction form
    437,653.80/656,480.70 = 409,660.20/x
  3. Step 3: Cross multiply
    437,653.80x = 656,480.70 × 409,660.20
  4. Step 4: Simplify right side
    437,653.80x = 268,934,014,858.14
  5. Step 5: Solve for x
    x = 268,934,014,858.14/437,653.80
  6. Step 6: Final answer
    x = 614,490.30

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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.