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Finding the Fourth Proportional to 299,655.33, 413,416.74 and 177,121.86

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Solution

The fourth proportional to 299,655.33, 413,416.74 and 177,121.86 is: 244,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,655.33 : 413,416.74 = 177,121.86 : x
  2. Step 2: Convert to fraction form
    299,655.33/413,416.74 = 177,121.86/x
  3. Step 3: Cross multiply
    299,655.33x = 413,416.74 × 177,121.86
  4. Step 4: Simplify right side
    299,655.33x = 73,225,141,943.94
  5. Step 5: Solve for x
    x = 73,225,141,943.94/299,655.33
  6. Step 6: Final answer
    x = 244,364.56

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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.