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Finding the Fourth Proportional to 411,502.96, 617,254.72 and 174,679.68

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Solution

The fourth proportional to 411,502.96, 617,254.72 and 174,679.68 is: 262,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,502.96 : 617,254.72 = 174,679.68 : x
  2. Step 2: Convert to fraction form
    411,502.96/617,254.72 = 174,679.68/x
  3. Step 3: Cross multiply
    411,502.96x = 617,254.72 × 174,679.68
  4. Step 4: Simplify right side
    411,502.96x = 107,821,856,968.09
  5. Step 5: Solve for x
    x = 107,821,856,968.09/411,502.96
  6. Step 6: Final answer
    x = 262,019.64

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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.