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Finding the Fourth Proportional to 412,201.60, 618,302.40 and 307,225.60

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Solution

The fourth proportional to 412,201.60, 618,302.40 and 307,225.60 is: 460,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,201.60 : 618,302.40 = 307,225.60 : x
  2. Step 2: Convert to fraction form
    412,201.60/618,302.40 = 307,225.60/x
  3. Step 3: Cross multiply
    412,201.60x = 618,302.40 × 307,225.60
  4. Step 4: Simplify right side
    412,201.60x = 189,958,325,821.44
  5. Step 5: Solve for x
    x = 189,958,325,821.44/412,201.60
  6. Step 6: Final answer
    x = 460,838.40

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1.5x scale

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.