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Finding the Fourth Proportional to 293,170.60, 439,712.70 and 82,829.80

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Solution

The fourth proportional to 293,170.60, 439,712.70 and 82,829.80 is: 124,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,170.60 : 439,712.70 = 82,829.80 : x
  2. Step 2: Convert to fraction form
    293,170.60/439,712.70 = 82,829.80/x
  3. Step 3: Cross multiply
    293,170.60x = 439,712.70 × 82,829.80
  4. Step 4: Simplify right side
    293,170.60x = 36,421,314,998.46
  5. Step 5: Solve for x
    x = 36,421,314,998.46/293,170.60
  6. Step 6: Final answer
    x = 124,232.49

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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.