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Finding the Fourth Proportional to 411,289.20, 617,051.88 and 171,356.40

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Solution

The fourth proportional to 411,289.20, 617,051.88 and 171,356.40 is: 257,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,289.20 : 617,051.88 = 171,356.40 : x
  2. Step 2: Convert to fraction form
    411,289.20/617,051.88 = 171,356.40/x
  3. Step 3: Cross multiply
    411,289.20x = 617,051.88 × 171,356.40
  4. Step 4: Simplify right side
    411,289.20x = 105,735,788,770.03
  5. Step 5: Solve for x
    x = 105,735,788,770.03/411,289.20
  6. Step 6: Final answer
    x = 257,083.80

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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.