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Finding the Fourth Proportional to 416,473.12, 624,055.56 and 321,934.96

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Solution

The fourth proportional to 416,473.12, 624,055.56 and 321,934.96 is: 482,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,473.12 : 624,055.56 = 321,934.96 : x
  2. Step 2: Convert to fraction form
    416,473.12/624,055.56 = 321,934.96/x
  3. Step 3: Cross multiply
    416,473.12x = 624,055.56 × 321,934.96
  4. Step 4: Simplify right side
    416,473.12x = 200,905,301,746.38
  5. Step 5: Solve for x
    x = 200,905,301,746.38/416,473.12
  6. Step 6: Final answer
    x = 482,396.80

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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.