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Finding the Fourth Proportional to 313,971.48, 433,267.43 and 178,014.57

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Solution

The fourth proportional to 313,971.48, 433,267.43 and 178,014.57 is: 245,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,971.48 : 433,267.43 = 178,014.57 : x
  2. Step 2: Convert to fraction form
    313,971.48/433,267.43 = 178,014.57/x
  3. Step 3: Cross multiply
    313,971.48x = 433,267.43 × 178,014.57
  4. Step 4: Simplify right side
    313,971.48x = 77,127,914,356.38
  5. Step 5: Solve for x
    x = 77,127,914,356.38/313,971.48
  6. Step 6: Final answer
    x = 245,652.61

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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.