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Finding the Fourth Proportional to 310,384.30, 465,467.10 and 110,711.20

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Solution

The fourth proportional to 310,384.30, 465,467.10 and 110,711.20 is: 166,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,384.30 : 465,467.10 = 110,711.20 : x
  2. Step 2: Convert to fraction form
    310,384.30/465,467.10 = 110,711.20/x
  3. Step 3: Cross multiply
    310,384.30x = 465,467.10 × 110,711.20
  4. Step 4: Simplify right side
    310,384.30x = 51,532,421,201.52
  5. Step 5: Solve for x
    x = 51,532,421,201.52/310,384.30
  6. Step 6: Final answer
    x = 166,027.80

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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.