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Finding the Fourth Proportional to 416,394.18, 624,596.40 and 146,530.38

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Solution

The fourth proportional to 416,394.18, 624,596.40 and 146,530.38 is: 219,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,394.18 : 624,596.40 = 146,530.38 : x
  2. Step 2: Convert to fraction form
    416,394.18/624,596.40 = 146,530.38/x
  3. Step 3: Cross multiply
    416,394.18x = 624,596.40 × 146,530.38
  4. Step 4: Simplify right side
    416,394.18x = 91,522,347,838.63
  5. Step 5: Solve for x
    x = 91,522,347,838.63/416,394.18
  6. Step 6: Final answer
    x = 219,797.38

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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.