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Finding the Fourth Proportional to 470,957.99, 706,625.60 and 171,459.27

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Solution

The fourth proportional to 470,957.99, 706,625.60 and 171,459.27 is: 257,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,957.99 : 706,625.60 = 171,459.27 : x
  2. Step 2: Convert to fraction form
    470,957.99/706,625.60 = 171,459.27/x
  3. Step 3: Cross multiply
    470,957.99x = 706,625.60 × 171,459.27
  4. Step 4: Simplify right side
    470,957.99x = 121,157,508,682.02
  5. Step 5: Solve for x
    x = 121,157,508,682.02/470,957.99
  6. Step 6: Final answer
    x = 257,257.57

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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.