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Finding the Fourth Proportional to 470,384.10, 705,576.15 and 154,764.90

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Solution

The fourth proportional to 470,384.10, 705,576.15 and 154,764.90 is: 232,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,384.10 : 705,576.15 = 154,764.90 : x
  2. Step 2: Convert to fraction form
    470,384.10/705,576.15 = 154,764.90/x
  3. Step 3: Cross multiply
    470,384.10x = 705,576.15 × 154,764.90
  4. Step 4: Simplify right side
    470,384.10x = 109,198,422,297.14
  5. Step 5: Solve for x
    x = 109,198,422,297.14/470,384.10
  6. Step 6: Final answer
    x = 232,147.35

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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.