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Finding the Fourth Proportional to 382,817.64, 574,182.69 and 102,356.76

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Solution

The fourth proportional to 382,817.64, 574,182.69 and 102,356.76 is: 153,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,817.64 : 574,182.69 = 102,356.76 : x
  2. Step 2: Convert to fraction form
    382,817.64/574,182.69 = 102,356.76/x
  3. Step 3: Cross multiply
    382,817.64x = 574,182.69 × 102,356.76
  4. Step 4: Simplify right side
    382,817.64x = 58,771,479,796.48
  5. Step 5: Solve for x
    x = 58,771,479,796.48/382,817.64
  6. Step 6: Final answer
    x = 153,523.44

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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.