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Finding the Fourth Proportional to 565,885.48, 780,917.88 and 311,231.20

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Solution

The fourth proportional to 565,885.48, 780,917.88 and 311,231.20 is: 429,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,885.48 : 780,917.88 = 311,231.20 : x
  2. Step 2: Convert to fraction form
    565,885.48/780,917.88 = 311,231.20/x
  3. Step 3: Cross multiply
    565,885.48x = 780,917.88 × 311,231.20
  4. Step 4: Simplify right side
    565,885.48x = 243,046,008,893.86
  5. Step 5: Solve for x
    x = 243,046,008,893.86/565,885.48
  6. Step 6: Final answer
    x = 429,496.81

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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.