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Finding the Fourth Proportional to 293,490.24, 440,494.56 and 160,491.84

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Solution

The fourth proportional to 293,490.24, 440,494.56 and 160,491.84 is: 240,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,490.24 : 440,494.56 = 160,491.84 : x
  2. Step 2: Convert to fraction form
    293,490.24/440,494.56 = 160,491.84/x
  3. Step 3: Cross multiply
    293,490.24x = 440,494.56 × 160,491.84
  4. Step 4: Simplify right side
    293,490.24x = 70,695,782,444.39
  5. Step 5: Solve for x
    x = 70,695,782,444.39/293,490.24
  6. Step 6: Final answer
    x = 240,879.50

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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.