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Finding the Fourth Proportional to 470,158.24, 705,232.50 and 115,174.12

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Solution

The fourth proportional to 470,158.24, 705,232.50 and 115,174.12 is: 172,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,158.24 : 705,232.50 = 115,174.12 : x
  2. Step 2: Convert to fraction form
    470,158.24/705,232.50 = 115,174.12/x
  3. Step 3: Cross multiply
    470,158.24x = 705,232.50 × 115,174.12
  4. Step 4: Simplify right side
    470,158.24x = 81,224,532,582.90
  5. Step 5: Solve for x
    x = 81,224,532,582.90/470,158.24
  6. Step 6: Final answer
    x = 172,759.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.