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Finding the Fourth Proportional to 463,474.40, 693,899.40 and 416,235.20

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Solution

The fourth proportional to 463,474.40, 693,899.40 and 416,235.20 is: 623,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,474.40 : 693,899.40 = 416,235.20 : x
  2. Step 2: Convert to fraction form
    463,474.40/693,899.40 = 416,235.20/x
  3. Step 3: Cross multiply
    463,474.40x = 693,899.40 × 416,235.20
  4. Step 4: Simplify right side
    463,474.40x = 288,825,355,538.88
  5. Step 5: Solve for x
    x = 288,825,355,538.88/463,474.40
  6. Step 6: Final answer
    x = 623,174.34

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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.