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Finding the Fourth Proportional to 411,421.20, 617,010.84 and 174,762

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Solution

The fourth proportional to 411,421.20, 617,010.84 and 174,762 is: 262,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,421.20 : 617,010.84 = 174,762 : x
  2. Step 2: Convert to fraction form
    411,421.20/617,010.84 = 174,762/x
  3. Step 3: Cross multiply
    411,421.20x = 617,010.84 × 174,762
  4. Step 4: Simplify right side
    411,421.20x = 107,830,048,420.08
  5. Step 5: Solve for x
    x = 107,830,048,420.08/411,421.20
  6. Step 6: Final answer
    x = 262,091.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.