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Finding the Fourth Proportional to 509,059.20, 763,086.60 and 284,527.20

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Solution

The fourth proportional to 509,059.20, 763,086.60 and 284,527.20 is: 426,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,059.20 : 763,086.60 = 284,527.20 : x
  2. Step 2: Convert to fraction form
    509,059.20/763,086.60 = 284,527.20/x
  3. Step 3: Cross multiply
    509,059.20x = 763,086.60 × 284,527.20
  4. Step 4: Simplify right side
    509,059.20x = 217,118,893,655.52
  5. Step 5: Solve for x
    x = 217,118,893,655.52/509,059.20
  6. Step 6: Final answer
    x = 426,510.11

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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.