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Finding the Fourth Proportional to 411,754.68, 617,381.71 and 171,578.34

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Solution

The fourth proportional to 411,754.68, 617,381.71 and 171,578.34 is: 257,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,754.68 : 617,381.71 = 171,578.34 : x
  2. Step 2: Convert to fraction form
    411,754.68/617,381.71 = 171,578.34/x
  3. Step 3: Cross multiply
    411,754.68x = 617,381.71 × 171,578.34
  4. Step 4: Simplify right side
    411,754.68x = 105,929,328,948.16
  5. Step 5: Solve for x
    x = 105,929,328,948.16/411,754.68
  6. Step 6: Final answer
    x = 257,263.21

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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.