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Finding the Fourth Proportional to 310,588.86, 465,905.58 and 82,883.28

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Solution

The fourth proportional to 310,588.86, 465,905.58 and 82,883.28 is: 124,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,588.86 : 465,905.58 = 82,883.28 : x
  2. Step 2: Convert to fraction form
    310,588.86/465,905.58 = 82,883.28/x
  3. Step 3: Cross multiply
    310,588.86x = 465,905.58 × 82,883.28
  4. Step 4: Simplify right side
    310,588.86x = 38,615,782,640.70
  5. Step 5: Solve for x
    x = 38,615,782,640.70/310,588.86
  6. Step 6: Final answer
    x = 124,330.87

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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.