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Finding the Fourth Proportional to 566,289.96, 781,478.46 and 311,640.96

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Solution

The fourth proportional to 566,289.96, 781,478.46 and 311,640.96 is: 430,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,289.96 : 781,478.46 = 311,640.96 : x
  2. Step 2: Convert to fraction form
    566,289.96/781,478.46 = 311,640.96/x
  3. Step 3: Cross multiply
    566,289.96x = 781,478.46 × 311,640.96
  4. Step 4: Simplify right side
    566,289.96x = 243,540,697,493.72
  5. Step 5: Solve for x
    x = 243,540,697,493.72/566,289.96
  6. Step 6: Final answer
    x = 430,063.60

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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.