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Finding the Fourth Proportional to 650,820.56, 974,533.01 and 523,766.79

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Solution

The fourth proportional to 650,820.56, 974,533.01 and 523,766.79 is: 784,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,820.56 : 974,533.01 = 523,766.79 : x
  2. Step 2: Convert to fraction form
    650,820.56/974,533.01 = 523,766.79/x
  3. Step 3: Cross multiply
    650,820.56x = 974,533.01 × 523,766.79
  4. Step 4: Simplify right side
    650,820.56x = 510,428,023,777.90
  5. Step 5: Solve for x
    x = 510,428,023,777.90/650,820.56
  6. Step 6: Final answer
    x = 784,283.81

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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.