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Finding the Fourth Proportional to 570,914.10, 856,102.95 and 331,096.16

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Solution

The fourth proportional to 570,914.10, 856,102.95 and 331,096.16 is: 496,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,914.10 : 856,102.95 = 331,096.16 : x
  2. Step 2: Convert to fraction form
    570,914.10/856,102.95 = 331,096.16/x
  3. Step 3: Cross multiply
    570,914.10x = 856,102.95 × 331,096.16
  4. Step 4: Simplify right side
    570,914.10x = 283,452,399,309.67
  5. Step 5: Solve for x
    x = 283,452,399,309.67/570,914.10
  6. Step 6: Final answer
    x = 496,488.70

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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.