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Finding the Fourth Proportional to 313,890.77, 470,848.50 and 164,029.29

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Solution

The fourth proportional to 313,890.77, 470,848.50 and 164,029.29 is: 246,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,890.77 : 470,848.50 = 164,029.29 : x
  2. Step 2: Convert to fraction form
    313,890.77/470,848.50 = 164,029.29/x
  3. Step 3: Cross multiply
    313,890.77x = 470,848.50 × 164,029.29
  4. Step 4: Simplify right side
    313,890.77x = 77,232,945,152.57
  5. Step 5: Solve for x
    x = 77,232,945,152.57/313,890.77
  6. Step 6: Final answer
    x = 246,050.39

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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.