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Finding the Fourth Proportional to 650,464.20, 975,696.30 and 177,148.80

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Solution

The fourth proportional to 650,464.20, 975,696.30 and 177,148.80 is: 265,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,464.20 : 975,696.30 = 177,148.80 : x
  2. Step 2: Convert to fraction form
    650,464.20/975,696.30 = 177,148.80/x
  3. Step 3: Cross multiply
    650,464.20x = 975,696.30 × 177,148.80
  4. Step 4: Simplify right side
    650,464.20x = 172,843,428,709.44
  5. Step 5: Solve for x
    x = 172,843,428,709.44/650,464.20
  6. Step 6: Final answer
    x = 265,723.20

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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.