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Finding the Fourth Proportional to 380,495.45, 570,747.96 and 114,240.48

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Solution

The fourth proportional to 380,495.45, 570,747.96 and 114,240.48 is: 171,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,495.45 : 570,747.96 = 114,240.48 : x
  2. Step 2: Convert to fraction form
    380,495.45/570,747.96 = 114,240.48/x
  3. Step 3: Cross multiply
    380,495.45x = 570,747.96 × 114,240.48
  4. Step 4: Simplify right side
    380,495.45x = 65,202,520,909.42
  5. Step 5: Solve for x
    x = 65,202,520,909.42/380,495.45
  6. Step 6: Final answer
    x = 171,362.16

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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.