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Finding the Fourth Proportional to 470,242.38, 705,363.58 and 154,614.54

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Solution

The fourth proportional to 470,242.38, 705,363.58 and 154,614.54 is: 231,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,242.38 : 705,363.58 = 154,614.54 : x
  2. Step 2: Convert to fraction form
    470,242.38/705,363.58 = 154,614.54/x
  3. Step 3: Cross multiply
    470,242.38x = 705,363.58 × 154,614.54
  4. Step 4: Simplify right side
    470,242.38x = 109,059,465,454.45
  5. Step 5: Solve for x
    x = 109,059,465,454.45/470,242.38
  6. Step 6: Final answer
    x = 231,921.81

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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.