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Finding the Fourth Proportional to 470,958.48, 706,626.34 and 171,459.76

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Solution

The fourth proportional to 470,958.48, 706,626.34 and 171,459.76 is: 257,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,958.48 : 706,626.34 = 171,459.76 : x
  2. Step 2: Convert to fraction form
    470,958.48/706,626.34 = 171,459.76/x
  3. Step 3: Cross multiply
    470,958.48x = 706,626.34 × 171,459.76
  4. Step 4: Simplify right side
    470,958.48x = 121,157,982,666.08
  5. Step 5: Solve for x
    x = 121,157,982,666.08/470,958.48
  6. Step 6: Final answer
    x = 257,258.31

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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.