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Finding the Fourth Proportional to 509,232.31, 764,014.28 and 242,958.38

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Solution

The fourth proportional to 509,232.31, 764,014.28 and 242,958.38 is: 364,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,232.31 : 764,014.28 = 242,958.38 : x
  2. Step 2: Convert to fraction form
    509,232.31/764,014.28 = 242,958.38/x
  3. Step 3: Cross multiply
    509,232.31x = 764,014.28 × 242,958.38
  4. Step 4: Simplify right side
    509,232.31x = 185,623,666,730.80
  5. Step 5: Solve for x
    x = 185,623,666,730.80/509,232.31
  6. Step 6: Final answer
    x = 364,516.67

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1.5x scale

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.