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Finding the Fourth Proportional to 467,112.10, 700,123.78 and 214,419.28

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Solution

The fourth proportional to 467,112.10, 700,123.78 and 214,419.28 is: 321,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,112.10 : 700,123.78 = 214,419.28 : x
  2. Step 2: Convert to fraction form
    467,112.10/700,123.78 = 214,419.28/x
  3. Step 3: Cross multiply
    467,112.10x = 700,123.78 × 214,419.28
  4. Step 4: Simplify right side
    467,112.10x = 150,120,036,818.48
  5. Step 5: Solve for x
    x = 150,120,036,818.48/467,112.10
  6. Step 6: Final answer
    x = 321,379.04

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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.