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Finding the Fourth Proportional to 411,539.33, 617,419.94 and 171,573.48

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Solution

The fourth proportional to 411,539.33, 617,419.94 and 171,573.48 is: 257,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,539.33 : 617,419.94 = 171,573.48 : x
  2. Step 2: Convert to fraction form
    411,539.33/617,419.94 = 171,573.48/x
  3. Step 3: Cross multiply
    411,539.33x = 617,419.94 × 171,573.48
  4. Step 4: Simplify right side
    411,539.33x = 105,932,886,869.32
  5. Step 5: Solve for x
    x = 105,932,886,869.32/411,539.33
  6. Step 6: Final answer
    x = 257,406.47

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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.