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Finding the Fourth Proportional to 470,900.70, 706,665.14 and 171,381.20

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Solution

The fourth proportional to 470,900.70, 706,665.14 and 171,381.20 is: 257,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,900.70 : 706,665.14 = 171,381.20 : x
  2. Step 2: Convert to fraction form
    470,900.70/706,665.14 = 171,381.20/x
  3. Step 3: Cross multiply
    470,900.70x = 706,665.14 × 171,381.20
  4. Step 4: Simplify right side
    470,900.70x = 121,109,115,301.14
  5. Step 5: Solve for x
    x = 121,109,115,301.14/470,900.70
  6. Step 6: Final answer
    x = 257,186.10

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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.