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Finding the Fourth Proportional to 411,628.48, 617,087.86 and 159,086.14

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Solution

The fourth proportional to 411,628.48, 617,087.86 and 159,086.14 is: 238,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,628.48 : 617,087.86 = 159,086.14 : x
  2. Step 2: Convert to fraction form
    411,628.48/617,087.86 = 159,086.14/x
  3. Step 3: Cross multiply
    411,628.48x = 617,087.86 × 159,086.14
  4. Step 4: Simplify right side
    411,628.48x = 98,170,125,688.26
  5. Step 5: Solve for x
    x = 98,170,125,688.26/411,628.48
  6. Step 6: Final answer
    x = 238,492.06

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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.