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Finding the Fourth Proportional to 299,365.80, 413,114.50 and 178,444.72

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Solution

The fourth proportional to 299,365.80, 413,114.50 and 178,444.72 is: 246,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,365.80 : 413,114.50 = 178,444.72 : x
  2. Step 2: Convert to fraction form
    299,365.80/413,114.50 = 178,444.72/x
  3. Step 3: Cross multiply
    299,365.80x = 413,114.50 × 178,444.72
  4. Step 4: Simplify right side
    299,365.80x = 73,718,101,280.44
  5. Step 5: Solve for x
    x = 73,718,101,280.44/299,365.80
  6. Step 6: Final answer
    x = 246,247.57

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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.