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Finding the Fourth Proportional to 509,224.54, 764,002.66 and 242,950.58

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Solution

The fourth proportional to 509,224.54, 764,002.66 and 242,950.58 is: 364,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,224.54 : 764,002.66 = 242,950.58 : x
  2. Step 2: Convert to fraction form
    509,224.54/764,002.66 = 242,950.58/x
  3. Step 3: Cross multiply
    509,224.54x = 764,002.66 × 242,950.58
  4. Step 4: Simplify right side
    509,224.54x = 185,614,889,368.54
  5. Step 5: Solve for x
    x = 185,614,889,368.54/509,224.54
  6. Step 6: Final answer
    x = 364,505.00

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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.