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Finding the Fourth Proportional to 472,621.44, 707,266.80 and 295,212

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Solution

The fourth proportional to 472,621.44, 707,266.80 and 295,212 is: 441,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,621.44 : 707,266.80 = 295,212 : x
  2. Step 2: Convert to fraction form
    472,621.44/707,266.80 = 295,212/x
  3. Step 3: Cross multiply
    472,621.44x = 707,266.80 × 295,212
  4. Step 4: Simplify right side
    472,621.44x = 208,793,646,561.60
  5. Step 5: Solve for x
    x = 208,793,646,561.60/472,621.44
  6. Step 6: Final answer
    x = 441,777.77

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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.