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Finding the Fourth Proportional to 411,064, 616,596.24 and 115,576

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Solution

The fourth proportional to 411,064, 616,596.24 and 115,576 is: 173,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,064 : 616,596.24 = 115,576 : x
  2. Step 2: Convert to fraction form
    411,064/616,596.24 = 115,576/x
  3. Step 3: Cross multiply
    411,064x = 616,596.24 × 115,576
  4. Step 4: Simplify right side
    411,064x = 71,263,727,034.24
  5. Step 5: Solve for x
    x = 71,263,727,034.24/411,064
  6. Step 6: Final answer
    x = 173,364.07

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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.