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Finding the Fourth Proportional to 509,652, 764,484.48 and 177,228

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Solution

The fourth proportional to 509,652, 764,484.48 and 177,228 is: 265,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,652 : 764,484.48 = 177,228 : x
  2. Step 2: Convert to fraction form
    509,652/764,484.48 = 177,228/x
  3. Step 3: Cross multiply
    509,652x = 764,484.48 × 177,228
  4. Step 4: Simplify right side
    509,652x = 135,488,055,421.44
  5. Step 5: Solve for x
    x = 135,488,055,421.44/509,652
  6. Step 6: Final answer
    x = 265,844.25

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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.