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Finding the Fourth Proportional to 411,538.82, 617,419.18 and 171,572.98

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Solution

The fourth proportional to 411,538.82, 617,419.18 and 171,572.98 is: 257,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,538.82 : 617,419.18 = 171,572.98 : x
  2. Step 2: Convert to fraction form
    411,538.82/617,419.18 = 171,572.98/x
  3. Step 3: Cross multiply
    411,538.82x = 617,419.18 × 171,572.98
  4. Step 4: Simplify right side
    411,538.82x = 105,932,448,621.76
  5. Step 5: Solve for x
    x = 105,932,448,621.76/411,538.82
  6. Step 6: Final answer
    x = 257,405.73

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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.