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Finding the Fourth Proportional to 474,653.25, 712,096.52 and 142,229.25

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Solution

The fourth proportional to 474,653.25, 712,096.52 and 142,229.25 is: 213,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,653.25 : 712,096.52 = 142,229.25 : x
  2. Step 2: Convert to fraction form
    474,653.25/712,096.52 = 142,229.25/x
  3. Step 3: Cross multiply
    474,653.25x = 712,096.52 × 142,229.25
  4. Step 4: Simplify right side
    474,653.25x = 101,280,953,256.06
  5. Step 5: Solve for x
    x = 101,280,953,256.06/474,653.25
  6. Step 6: Final answer
    x = 213,378.83

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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.