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Finding the Fourth Proportional to 382,868.54, 574,302.78 and 102,378.50

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Solution

The fourth proportional to 382,868.54, 574,302.78 and 102,378.50 is: 153,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,868.54 : 574,302.78 = 102,378.50 : x
  2. Step 2: Convert to fraction form
    382,868.54/574,302.78 = 102,378.50/x
  3. Step 3: Cross multiply
    382,868.54x = 574,302.78 × 102,378.50
  4. Step 4: Simplify right side
    382,868.54x = 58,796,258,597.99
  5. Step 5: Solve for x
    x = 58,796,258,597.99/382,868.54
  6. Step 6: Final answer
    x = 153,567.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.