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Finding the Fourth Proportional to 313,951.86, 433,244.37 and 177,998.34

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Solution

The fourth proportional to 313,951.86, 433,244.37 and 177,998.34 is: 245,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.86 : 433,244.37 = 177,998.34 : x
  2. Step 2: Convert to fraction form
    313,951.86/433,244.37 = 177,998.34/x
  3. Step 3: Cross multiply
    313,951.86x = 433,244.37 × 177,998.34
  4. Step 4: Simplify right side
    313,951.86x = 77,116,778,674.35
  5. Step 5: Solve for x
    x = 77,116,778,674.35/313,951.86
  6. Step 6: Final answer
    x = 245,632.49

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1.5x scale

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.