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Finding the Fourth Proportional to 408,065.60, 611,495.76 and 197,452.64

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Solution

The fourth proportional to 408,065.60, 611,495.76 and 197,452.64 is: 295,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,065.60 : 611,495.76 = 197,452.64 : x
  2. Step 2: Convert to fraction form
    408,065.60/611,495.76 = 197,452.64/x
  3. Step 3: Cross multiply
    408,065.60x = 611,495.76 × 197,452.64
  4. Step 4: Simplify right side
    408,065.60x = 120,741,452,160.81
  5. Step 5: Solve for x
    x = 120,741,452,160.81/408,065.60
  6. Step 6: Final answer
    x = 295,887.36

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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.