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Finding the Fourth Proportional to 509,887.28, 764,856.44 and 194,368.80

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Solution

The fourth proportional to 509,887.28, 764,856.44 and 194,368.80 is: 291,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,887.28 : 764,856.44 = 194,368.80 : x
  2. Step 2: Convert to fraction form
    509,887.28/764,856.44 = 194,368.80/x
  3. Step 3: Cross multiply
    509,887.28x = 764,856.44 × 194,368.80
  4. Step 4: Simplify right side
    509,887.28x = 148,664,228,415.07
  5. Step 5: Solve for x
    x = 148,664,228,415.07/509,887.28
  6. Step 6: Final answer
    x = 291,562.93

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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.