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Finding the Fourth Proportional to 412,419.60, 618,629.40 and 307,443.60

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Solution

The fourth proportional to 412,419.60, 618,629.40 and 307,443.60 is: 461,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,419.60 : 618,629.40 = 307,443.60 : x
  2. Step 2: Convert to fraction form
    412,419.60/618,629.40 = 307,443.60/x
  3. Step 3: Cross multiply
    412,419.60x = 618,629.40 × 307,443.60
  4. Step 4: Simplify right side
    412,419.60x = 190,193,649,801.84
  5. Step 5: Solve for x
    x = 190,193,649,801.84/412,419.60
  6. Step 6: Final answer
    x = 461,165.40

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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.