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Finding the Fourth Proportional to 412,971.15, 570,100.77 and 276,955.68

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Solution

The fourth proportional to 412,971.15, 570,100.77 and 276,955.68 is: 382,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,971.15 : 570,100.77 = 276,955.68 : x
  2. Step 2: Convert to fraction form
    412,971.15/570,100.77 = 276,955.68/x
  3. Step 3: Cross multiply
    412,971.15x = 570,100.77 × 276,955.68
  4. Step 4: Simplify right side
    412,971.15x = 157,892,646,423.87
  5. Step 5: Solve for x
    x = 157,892,646,423.87/412,971.15
  6. Step 6: Final answer
    x = 382,333.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.