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Finding the Fourth Proportional to 477,598.41, 716,245.47 and 157,690.80

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Solution

The fourth proportional to 477,598.41, 716,245.47 and 157,690.80 is: 236,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,598.41 : 716,245.47 = 157,690.80 : x
  2. Step 2: Convert to fraction form
    477,598.41/716,245.47 = 157,690.80/x
  3. Step 3: Cross multiply
    477,598.41x = 716,245.47 × 157,690.80
  4. Step 4: Simplify right side
    477,598.41x = 112,945,321,160.68
  5. Step 5: Solve for x
    x = 112,945,321,160.68/477,598.41
  6. Step 6: Final answer
    x = 236,485.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.