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Finding the Fourth Proportional to 416,097.20, 624,145.80 and 389,853.20

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Solution

The fourth proportional to 416,097.20, 624,145.80 and 389,853.20 is: 584,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,097.20 : 624,145.80 = 389,853.20 : x
  2. Step 2: Convert to fraction form
    416,097.20/624,145.80 = 389,853.20/x
  3. Step 3: Cross multiply
    416,097.20x = 624,145.80 × 389,853.20
  4. Step 4: Simplify right side
    416,097.20x = 243,325,237,396.56
  5. Step 5: Solve for x
    x = 243,325,237,396.56/416,097.20
  6. Step 6: Final answer
    x = 584,779.80

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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.