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Finding the Fourth Proportional to 321,477.74, 482,118.16 and 222,275.42

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Solution

The fourth proportional to 321,477.74, 482,118.16 and 222,275.42 is: 333,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,477.74 : 482,118.16 = 222,275.42 : x
  2. Step 2: Convert to fraction form
    321,477.74/482,118.16 = 222,275.42/x
  3. Step 3: Cross multiply
    321,477.74x = 482,118.16 × 222,275.42
  4. Step 4: Simplify right side
    321,477.74x = 107,163,016,503.63
  5. Step 5: Solve for x
    x = 107,163,016,503.63/321,477.74
  6. Step 6: Final answer
    x = 333,345.06

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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.