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Finding the Fourth Proportional to 411,742.50, 617,663.58 and 145,448.52

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Solution

The fourth proportional to 411,742.50, 617,663.58 and 145,448.52 is: 218,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,742.50 : 617,663.58 = 145,448.52 : x
  2. Step 2: Convert to fraction form
    411,742.50/617,663.58 = 145,448.52/x
  3. Step 3: Cross multiply
    411,742.50x = 617,663.58 × 145,448.52
  4. Step 4: Simplify right side
    411,742.50x = 89,838,253,568.90
  5. Step 5: Solve for x
    x = 89,838,253,568.90/411,742.50
  6. Step 6: Final answer
    x = 218,190.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.