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Finding the Fourth Proportional to 411,504.96, 617,257.72 and 174,681.68

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Solution

The fourth proportional to 411,504.96, 617,257.72 and 174,681.68 is: 262,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,504.96 : 617,257.72 = 174,681.68 : x
  2. Step 2: Convert to fraction form
    411,504.96/617,257.72 = 174,681.68/x
  3. Step 3: Cross multiply
    411,504.96x = 617,257.72 × 174,681.68
  4. Step 4: Simplify right side
    411,504.96x = 107,823,615,522.57
  5. Step 5: Solve for x
    x = 107,823,615,522.57/411,504.96
  6. Step 6: Final answer
    x = 262,022.64

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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.