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Finding the Fourth Proportional to 470,231.72, 705,396.22 and 154,688.20

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Solution

The fourth proportional to 470,231.72, 705,396.22 and 154,688.20 is: 232,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,231.72 : 705,396.22 = 154,688.20 : x
  2. Step 2: Convert to fraction form
    470,231.72/705,396.22 = 154,688.20/x
  3. Step 3: Cross multiply
    470,231.72x = 705,396.22 × 154,688.20
  4. Step 4: Simplify right side
    470,231.72x = 109,116,471,558.60
  5. Step 5: Solve for x
    x = 109,116,471,558.60/470,231.72
  6. Step 6: Final answer
    x = 232,048.30

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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.