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Finding the Fourth Proportional to 340,592, 510,896.64 and 118,976

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Solution

The fourth proportional to 340,592, 510,896.64 and 118,976 is: 178,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,592 : 510,896.64 = 118,976 : x
  2. Step 2: Convert to fraction form
    340,592/510,896.64 = 118,976/x
  3. Step 3: Cross multiply
    340,592x = 510,896.64 × 118,976
  4. Step 4: Simplify right side
    340,592x = 60,784,438,640.64
  5. Step 5: Solve for x
    x = 60,784,438,640.64/340,592
  6. Step 6: Final answer
    x = 178,467.02

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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.