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Finding the Fourth Proportional to 470,686.14, 706,023.14 and 115,703.24

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Solution

The fourth proportional to 470,686.14, 706,023.14 and 115,703.24 is: 173,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,686.14 : 706,023.14 = 115,703.24 : x
  2. Step 2: Convert to fraction form
    470,686.14/706,023.14 = 115,703.24/x
  3. Step 3: Cross multiply
    470,686.14x = 706,023.14 × 115,703.24
  4. Step 4: Simplify right side
    470,686.14x = 81,689,160,704.34
  5. Step 5: Solve for x
    x = 81,689,160,704.34/470,686.14
  6. Step 6: Final answer
    x = 173,553.36

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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.