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Finding the Fourth Proportional to 411,496.31, 617,355.41 and 171,530.46

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Solution

The fourth proportional to 411,496.31, 617,355.41 and 171,530.46 is: 257,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,496.31 : 617,355.41 = 171,530.46 : x
  2. Step 2: Convert to fraction form
    411,496.31/617,355.41 = 171,530.46/x
  3. Step 3: Cross multiply
    411,496.31x = 617,355.41 × 171,530.46
  4. Step 4: Simplify right side
    411,496.31x = 105,895,256,603.14
  5. Step 5: Solve for x
    x = 105,895,256,603.14/411,496.31
  6. Step 6: Final answer
    x = 257,341.93

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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.