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Finding the Fourth Proportional to 456,476.96, 684,827.50 and 321,804.20

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Solution

The fourth proportional to 456,476.96, 684,827.50 and 321,804.20 is: 482,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.96 : 684,827.50 = 321,804.20 : x
  2. Step 2: Convert to fraction form
    456,476.96/684,827.50 = 321,804.20/x
  3. Step 3: Cross multiply
    456,476.96x = 684,827.50 × 321,804.20
  4. Step 4: Simplify right side
    456,476.96x = 220,380,365,775.50
  5. Step 5: Solve for x
    x = 220,380,365,775.50/456,476.96
  6. Step 6: Final answer
    x = 482,785.30

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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.