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Finding the Fourth Proportional to 565,910.37, 780,971.09 and 311,268.24

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Solution

The fourth proportional to 565,910.37, 780,971.09 and 311,268.24 is: 429,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,910.37 : 780,971.09 = 311,268.24 : x
  2. Step 2: Convert to fraction form
    565,910.37/780,971.09 = 311,268.24/x
  3. Step 3: Cross multiply
    565,910.37x = 780,971.09 × 311,268.24
  4. Step 4: Simplify right side
    565,910.37x = 243,091,495,118.84
  5. Step 5: Solve for x
    x = 243,091,495,118.84/565,910.37
  6. Step 6: Final answer
    x = 429,558.30

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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.