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Finding the Fourth Proportional to 380,354.12, 570,497.18 and 114,174.12

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Solution

The fourth proportional to 380,354.12, 570,497.18 and 114,174.12 is: 171,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,354.12 : 570,497.18 = 114,174.12 : x
  2. Step 2: Convert to fraction form
    380,354.12/570,497.18 = 114,174.12/x
  3. Step 3: Cross multiply
    380,354.12x = 570,497.18 × 114,174.12
  4. Step 4: Simplify right side
    380,354.12x = 65,136,013,488.98
  5. Step 5: Solve for x
    x = 65,136,013,488.98/380,354.12
  6. Step 6: Final answer
    x = 171,250.97

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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.