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Finding the Fourth Proportional to 470,779.28, 706,162.54 and 115,796.37

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Solution

The fourth proportional to 470,779.28, 706,162.54 and 115,796.37 is: 173,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,779.28 : 706,162.54 = 115,796.37 : x
  2. Step 2: Convert to fraction form
    470,779.28/706,162.54 = 115,796.37/x
  3. Step 3: Cross multiply
    470,779.28x = 706,162.54 × 115,796.37
  4. Step 4: Simplify right side
    470,779.28x = 81,771,058,761.98
  5. Step 5: Solve for x
    x = 81,771,058,761.98/470,779.28
  6. Step 6: Final answer
    x = 173,692.99

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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.