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Finding the Fourth Proportional to 382,817.52, 574,182.51 and 102,356.64

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Solution

The fourth proportional to 382,817.52, 574,182.51 and 102,356.64 is: 153,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,817.52 : 574,182.51 = 102,356.64 : x
  2. Step 2: Convert to fraction form
    382,817.52/574,182.51 = 102,356.64/x
  3. Step 3: Cross multiply
    382,817.52x = 574,182.51 × 102,356.64
  4. Step 4: Simplify right side
    382,817.52x = 58,771,392,470.37
  5. Step 5: Solve for x
    x = 58,771,392,470.37/382,817.52
  6. Step 6: Final answer
    x = 153,523.26

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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.