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Finding the Fourth Proportional to 470,244.38, 705,366.58 and 154,616.54

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Solution

The fourth proportional to 470,244.38, 705,366.58 and 154,616.54 is: 231,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,244.38 : 705,366.58 = 154,616.54 : x
  2. Step 2: Convert to fraction form
    470,244.38/705,366.58 = 154,616.54/x
  3. Step 3: Cross multiply
    470,244.38x = 705,366.58 × 154,616.54
  4. Step 4: Simplify right side
    470,244.38x = 109,061,340,031.23
  5. Step 5: Solve for x
    x = 109,061,340,031.23/470,244.38
  6. Step 6: Final answer
    x = 231,924.81

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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.