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Finding the Fourth Proportional to 305,202.10, 457,693.80 and 155,392.60

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Solution

The fourth proportional to 305,202.10, 457,693.80 and 155,392.60 is: 233,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,202.10 : 457,693.80 = 155,392.60 : x
  2. Step 2: Convert to fraction form
    305,202.10/457,693.80 = 155,392.60/x
  3. Step 3: Cross multiply
    305,202.10x = 457,693.80 × 155,392.60
  4. Step 4: Simplify right side
    305,202.10x = 71,122,229,585.88
  5. Step 5: Solve for x
    x = 71,122,229,585.88/305,202.10
  6. Step 6: Final answer
    x = 233,033.22

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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.