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Finding the Fourth Proportional to 509,227.56, 762,747.87 and 479,417.01

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Solution

The fourth proportional to 509,227.56, 762,747.87 and 479,417.01 is: 718,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,227.56 : 762,747.87 = 479,417.01 : x
  2. Step 2: Convert to fraction form
    509,227.56/762,747.87 = 479,417.01/x
  3. Step 3: Cross multiply
    509,227.56x = 762,747.87 × 479,417.01
  4. Step 4: Simplify right side
    509,227.56x = 365,674,303,219.27
  5. Step 5: Solve for x
    x = 365,674,303,219.27/509,227.56
  6. Step 6: Final answer
    x = 718,096.06

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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.