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Finding the Fourth Proportional to 382,817.75, 574,182.88 and 102,356.87

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Solution

The fourth proportional to 382,817.75, 574,182.88 and 102,356.87 is: 153,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,817.75 : 574,182.88 = 102,356.87 : x
  2. Step 2: Convert to fraction form
    382,817.75/574,182.88 = 102,356.87/x
  3. Step 3: Cross multiply
    382,817.75x = 574,182.88 × 102,356.87
  4. Step 4: Simplify right side
    382,817.75x = 58,771,559,277.58
  5. Step 5: Solve for x
    x = 58,771,559,277.58/382,817.75
  6. Step 6: Final answer
    x = 153,523.60

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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.