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Finding the Fourth Proportional to 382,583.40, 573,896.70 and 116,352.60

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Solution

The fourth proportional to 382,583.40, 573,896.70 and 116,352.60 is: 174,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,583.40 : 573,896.70 = 116,352.60 : x
  2. Step 2: Convert to fraction form
    382,583.40/573,896.70 = 116,352.60/x
  3. Step 3: Cross multiply
    382,583.40x = 573,896.70 × 116,352.60
  4. Step 4: Simplify right side
    382,583.40x = 66,774,373,176.42
  5. Step 5: Solve for x
    x = 66,774,373,176.42/382,583.40
  6. Step 6: Final answer
    x = 174,535.47

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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.