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Finding the Fourth Proportional to 299,482.86, 413,237.60 and 176,958.20

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Solution

The fourth proportional to 299,482.86, 413,237.60 and 176,958.20 is: 244,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.86 : 413,237.60 = 176,958.20 : x
  2. Step 2: Convert to fraction form
    299,482.86/413,237.60 = 176,958.20/x
  3. Step 3: Cross multiply
    299,482.86x = 413,237.60 × 176,958.20
  4. Step 4: Simplify right side
    299,482.86x = 73,125,782,680.22
  5. Step 5: Solve for x
    x = 73,125,782,680.22/299,482.86
  6. Step 6: Final answer
    x = 244,173.51

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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.