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Finding the Fourth Proportional to 411,668.37, 617,416.15 and 116,111.25

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Solution

The fourth proportional to 411,668.37, 617,416.15 and 116,111.25 is: 174,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,668.37 : 617,416.15 = 116,111.25 : x
  2. Step 2: Convert to fraction form
    411,668.37/617,416.15 = 116,111.25/x
  3. Step 3: Cross multiply
    411,668.37x = 617,416.15 × 116,111.25
  4. Step 4: Simplify right side
    411,668.37x = 71,688,960,946.69
  5. Step 5: Solve for x
    x = 71,688,960,946.69/411,668.37
  6. Step 6: Final answer
    x = 174,142.50

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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.