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Finding the Fourth Proportional to 414,197.32, 620,701.26 and 177,475.72

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Solution

The fourth proportional to 414,197.32, 620,701.26 and 177,475.72 is: 265,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,197.32 : 620,701.26 = 177,475.72 : x
  2. Step 2: Convert to fraction form
    414,197.32/620,701.26 = 177,475.72/x
  3. Step 3: Cross multiply
    414,197.32x = 620,701.26 × 177,475.72
  4. Step 4: Simplify right side
    414,197.32x = 110,159,403,023.41
  5. Step 5: Solve for x
    x = 110,159,403,023.41/414,197.32
  6. Step 6: Final answer
    x = 265,958.75

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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.