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Finding the Fourth Proportional to 470,864.88, 706,741.20 and 171,634.68

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Solution

The fourth proportional to 470,864.88, 706,741.20 and 171,634.68 is: 257,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,864.88 : 706,741.20 = 171,634.68 : x
  2. Step 2: Convert to fraction form
    470,864.88/706,741.20 = 171,634.68/x
  3. Step 3: Cross multiply
    470,864.88x = 706,741.20 × 171,634.68
  4. Step 4: Simplify right side
    470,864.88x = 121,301,299,704.82
  5. Step 5: Solve for x
    x = 121,301,299,704.82/470,864.88
  6. Step 6: Final answer
    x = 257,613.82

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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.