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Finding the Fourth Proportional to 435,945.60, 654,015.60 and 341,467.20

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Solution

The fourth proportional to 435,945.60, 654,015.60 and 341,467.20 is: 512,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,945.60 : 654,015.60 = 341,467.20 : x
  2. Step 2: Convert to fraction form
    435,945.60/654,015.60 = 341,467.20/x
  3. Step 3: Cross multiply
    435,945.60x = 654,015.60 × 341,467.20
  4. Step 4: Simplify right side
    435,945.60x = 223,324,875,688.32
  5. Step 5: Solve for x
    x = 223,324,875,688.32/435,945.60
  6. Step 6: Final answer
    x = 512,276.93

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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.