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Finding the Fourth Proportional to 382,848.60, 574,272.90 and 133,530.60

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Solution

The fourth proportional to 382,848.60, 574,272.90 and 133,530.60 is: 200,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,848.60 : 574,272.90 = 133,530.60 : x
  2. Step 2: Convert to fraction form
    382,848.60/574,272.90 = 133,530.60/x
  3. Step 3: Cross multiply
    382,848.60x = 574,272.90 × 133,530.60
  4. Step 4: Simplify right side
    382,848.60x = 76,683,004,900.74
  5. Step 5: Solve for x
    x = 76,683,004,900.74/382,848.60
  6. Step 6: Final answer
    x = 200,295.90

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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.