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Finding the Fourth Proportional to 509,432.40, 764,148.60 and 509,432.40

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Solution

The fourth proportional to 509,432.40, 764,148.60 and 509,432.40 is: 764,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,432.40 : 764,148.60 = 509,432.40 : x
  2. Step 2: Convert to fraction form
    509,432.40/764,148.60 = 509,432.40/x
  3. Step 3: Cross multiply
    509,432.40x = 764,148.60 × 509,432.40
  4. Step 4: Simplify right side
    509,432.40x = 389,282,055,254.64
  5. Step 5: Solve for x
    x = 389,282,055,254.64/509,432.40
  6. Step 6: Final answer
    x = 764,148.60

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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.