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Finding the Fourth Proportional to 470,260.92, 705,387.54 and 189,773.88

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Solution

The fourth proportional to 470,260.92, 705,387.54 and 189,773.88 is: 284,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,260.92 : 705,387.54 = 189,773.88 : x
  2. Step 2: Convert to fraction form
    470,260.92/705,387.54 = 189,773.88/x
  3. Step 3: Cross multiply
    470,260.92x = 705,387.54 × 189,773.88
  4. Step 4: Simplify right side
    470,260.92x = 133,864,130,369.46
  5. Step 5: Solve for x
    x = 133,864,130,369.46/470,260.92
  6. Step 6: Final answer
    x = 284,659.27

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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.