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Finding the Fourth Proportional to 509,807.40, 764,711.10 and 273,611.40

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Solution

The fourth proportional to 509,807.40, 764,711.10 and 273,611.40 is: 410,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,807.40 : 764,711.10 = 273,611.40 : x
  2. Step 2: Convert to fraction form
    509,807.40/764,711.10 = 273,611.40/x
  3. Step 3: Cross multiply
    509,807.40x = 764,711.10 × 273,611.40
  4. Step 4: Simplify right side
    509,807.40x = 209,233,674,666.54
  5. Step 5: Solve for x
    x = 209,233,674,666.54/509,807.40
  6. Step 6: Final answer
    x = 410,417.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.