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Finding the Fourth Proportional to 509,750.37, 764,717.49 and 210,064.14

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Solution

The fourth proportional to 509,750.37, 764,717.49 and 210,064.14 is: 315,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,750.37 : 764,717.49 = 210,064.14 : x
  2. Step 2: Convert to fraction form
    509,750.37/764,717.49 = 210,064.14/x
  3. Step 3: Cross multiply
    509,750.37x = 764,717.49 × 210,064.14
  4. Step 4: Simplify right side
    509,750.37x = 160,639,721,879.81
  5. Step 5: Solve for x
    x = 160,639,721,879.81/509,750.37
  6. Step 6: Final answer
    x = 315,134.10

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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.