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Finding the Fourth Proportional to 565,942.56, 780,984.16 and 311,293.60

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Solution

The fourth proportional to 565,942.56, 780,984.16 and 311,293.60 is: 429,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,942.56 : 780,984.16 = 311,293.60 : x
  2. Step 2: Convert to fraction form
    565,942.56/780,984.16 = 311,293.60/x
  3. Step 3: Cross multiply
    565,942.56x = 780,984.16 × 311,293.60
  4. Step 4: Simplify right side
    565,942.56x = 243,115,370,709.38
  5. Step 5: Solve for x
    x = 243,115,370,709.38/565,942.56
  6. Step 6: Final answer
    x = 429,576.05

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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.