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Finding the Fourth Proportional to 293,384.56, 440,014.20 and 83,024.32

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Solution

The fourth proportional to 293,384.56, 440,014.20 and 83,024.32 is: 124,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,384.56 : 440,014.20 = 83,024.32 : x
  2. Step 2: Convert to fraction form
    293,384.56/440,014.20 = 83,024.32/x
  3. Step 3: Cross multiply
    293,384.56x = 440,014.20 × 83,024.32
  4. Step 4: Simplify right side
    293,384.56x = 36,531,879,745.34
  5. Step 5: Solve for x
    x = 36,531,879,745.34/293,384.56
  6. Step 6: Final answer
    x = 124,518.75

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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.