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Finding the Fourth Proportional to 493,114.44, 680,014.38 and 299,550.36

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Solution

The fourth proportional to 493,114.44, 680,014.38 and 299,550.36 is: 413,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,114.44 : 680,014.38 = 299,550.36 : x
  2. Step 2: Convert to fraction form
    493,114.44/680,014.38 = 299,550.36/x
  3. Step 3: Cross multiply
    493,114.44x = 680,014.38 × 299,550.36
  4. Step 4: Simplify right side
    493,114.44x = 203,698,552,334.18
  5. Step 5: Solve for x
    x = 203,698,552,334.18/493,114.44
  6. Step 6: Final answer
    x = 413,085.76

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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.