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Finding the Fourth Proportional to 323,432.40, 485,148.60 and 314,216.40

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Solution

The fourth proportional to 323,432.40, 485,148.60 and 314,216.40 is: 471,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,432.40 : 485,148.60 = 314,216.40 : x
  2. Step 2: Convert to fraction form
    323,432.40/485,148.60 = 314,216.40/x
  3. Step 3: Cross multiply
    323,432.40x = 485,148.60 × 314,216.40
  4. Step 4: Simplify right side
    323,432.40x = 152,441,646,557.04
  5. Step 5: Solve for x
    x = 152,441,646,557.04/323,432.40
  6. Step 6: Final answer
    x = 471,324.60

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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.