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Finding the Fourth Proportional to 446,034.16, 669,182.48 and 179,657.56

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Solution

The fourth proportional to 446,034.16, 669,182.48 and 179,657.56 is: 269,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,034.16 : 669,182.48 = 179,657.56 : x
  2. Step 2: Convert to fraction form
    446,034.16/669,182.48 = 179,657.56/x
  3. Step 3: Cross multiply
    446,034.16x = 669,182.48 × 179,657.56
  4. Step 4: Simplify right side
    446,034.16x = 120,223,687,307.35
  5. Step 5: Solve for x
    x = 120,223,687,307.35/446,034.16
  6. Step 6: Final answer
    x = 269,539.20

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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.