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Finding the Fourth Proportional to 258,984.40, 388,246.20 and 153,691.60

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Solution

The fourth proportional to 258,984.40, 388,246.20 and 153,691.60 is: 230,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,984.40 : 388,246.20 = 153,691.60 : x
  2. Step 2: Convert to fraction form
    258,984.40/388,246.20 = 153,691.60/x
  3. Step 3: Cross multiply
    258,984.40x = 388,246.20 × 153,691.60
  4. Step 4: Simplify right side
    258,984.40x = 59,670,179,671.92
  5. Step 5: Solve for x
    x = 59,670,179,671.92/258,984.40
  6. Step 6: Final answer
    x = 230,400.67

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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.