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Finding the Fourth Proportional to 309,214.80, 462,947.40 and 309,214.80

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Solution

The fourth proportional to 309,214.80, 462,947.40 and 309,214.80 is: 462,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,214.80 : 462,947.40 = 309,214.80 : x
  2. Step 2: Convert to fraction form
    309,214.80/462,947.40 = 309,214.80/x
  3. Step 3: Cross multiply
    309,214.80x = 462,947.40 × 309,214.80
  4. Step 4: Simplify right side
    309,214.80x = 143,150,187,701.52
  5. Step 5: Solve for x
    x = 143,150,187,701.52/309,214.80
  6. Step 6: Final answer
    x = 462,947.40

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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.