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Finding the Fourth Proportional to 523,318.40, 784,977.60 and 470,830.40

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Solution

The fourth proportional to 523,318.40, 784,977.60 and 470,830.40 is: 706,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,318.40 : 784,977.60 = 470,830.40 : x
  2. Step 2: Convert to fraction form
    523,318.40/784,977.60 = 470,830.40/x
  3. Step 3: Cross multiply
    523,318.40x = 784,977.60 × 470,830.40
  4. Step 4: Simplify right side
    523,318.40x = 369,591,317,399.04
  5. Step 5: Solve for x
    x = 369,591,317,399.04/523,318.40
  6. Step 6: Final answer
    x = 706,245.60

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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.