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Finding the Fourth Proportional to 416,304.08, 624,483 and 146,399.12

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Solution

The fourth proportional to 416,304.08, 624,483 and 146,399.12 is: 219,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,304.08 : 624,483 = 146,399.12 : x
  2. Step 2: Convert to fraction form
    416,304.08/624,483 = 146,399.12/x
  3. Step 3: Cross multiply
    416,304.08x = 624,483 × 146,399.12
  4. Step 4: Simplify right side
    416,304.08x = 91,423,761,654.96
  5. Step 5: Solve for x
    x = 91,423,761,654.96/416,304.08
  6. Step 6: Final answer
    x = 219,608.13

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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.