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Finding the Fourth Proportional to 411,968.76, 617,454.12 and 174,813.21

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Solution

The fourth proportional to 411,968.76, 617,454.12 and 174,813.21 is: 262,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,968.76 : 617,454.12 = 174,813.21 : x
  2. Step 2: Convert to fraction form
    411,968.76/617,454.12 = 174,813.21/x
  3. Step 3: Cross multiply
    411,968.76x = 617,454.12 × 174,813.21
  4. Step 4: Simplify right side
    411,968.76x = 107,939,136,744.93
  5. Step 5: Solve for x
    x = 107,939,136,744.93/411,968.76
  6. Step 6: Final answer
    x = 262,008.06

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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.