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Finding the Fourth Proportional to 384,537.60, 576,807.81 and 118,296.27

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Solution

The fourth proportional to 384,537.60, 576,807.81 and 118,296.27 is: 177,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,537.60 : 576,807.81 = 118,296.27 : x
  2. Step 2: Convert to fraction form
    384,537.60/576,807.81 = 118,296.27/x
  3. Step 3: Cross multiply
    384,537.60x = 576,807.81 × 118,296.27
  4. Step 4: Simplify right side
    384,537.60x = 68,234,212,429.87
  5. Step 5: Solve for x
    x = 68,234,212,429.87/384,537.60
  6. Step 6: Final answer
    x = 177,444.84

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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.