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Finding the Fourth Proportional to 570,507.10, 856,194.50 and 211,018.10

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Solution

The fourth proportional to 570,507.10, 856,194.50 and 211,018.10 is: 316,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,507.10 : 856,194.50 = 211,018.10 : x
  2. Step 2: Convert to fraction form
    570,507.10/856,194.50 = 211,018.10/x
  3. Step 3: Cross multiply
    570,507.10x = 856,194.50 × 211,018.10
  4. Step 4: Simplify right side
    570,507.10x = 180,672,532,867.02
  5. Step 5: Solve for x
    x = 180,672,532,867.02/570,507.10
  6. Step 6: Final answer
    x = 316,687.62

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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.