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Finding the Fourth Proportional to 506,497.70, 759,786.78 and 169,540.13

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Solution

The fourth proportional to 506,497.70, 759,786.78 and 169,540.13 is: 254,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,497.70 : 759,786.78 = 169,540.13 : x
  2. Step 2: Convert to fraction form
    506,497.70/759,786.78 = 169,540.13/x
  3. Step 3: Cross multiply
    506,497.70x = 759,786.78 × 169,540.13
  4. Step 4: Simplify right side
    506,497.70x = 128,814,349,453.48
  5. Step 5: Solve for x
    x = 128,814,349,453.48/506,497.70
  6. Step 6: Final answer
    x = 254,323.66

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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.