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Finding the Fourth Proportional to 470,668.15, 706,302.46 and 171,119.98

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Solution

The fourth proportional to 470,668.15, 706,302.46 and 171,119.98 is: 256,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,668.15 : 706,302.46 = 171,119.98 : x
  2. Step 2: Convert to fraction form
    470,668.15/706,302.46 = 171,119.98/x
  3. Step 3: Cross multiply
    470,668.15x = 706,302.46 × 171,119.98
  4. Step 4: Simplify right side
    470,668.15x = 120,862,459,297.64
  5. Step 5: Solve for x
    x = 120,862,459,297.64/470,668.15
  6. Step 6: Final answer
    x = 256,789.12

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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.