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Finding the Fourth Proportional to 428,083.45, 591,152.27 and 320,466.65

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Solution

The fourth proportional to 428,083.45, 591,152.27 and 320,466.65 is: 442,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,083.45 : 591,152.27 = 320,466.65 : x
  2. Step 2: Convert to fraction form
    428,083.45/591,152.27 = 320,466.65/x
  3. Step 3: Cross multiply
    428,083.45x = 591,152.27 × 320,466.65
  4. Step 4: Simplify right side
    428,083.45x = 189,444,583,048.70
  5. Step 5: Solve for x
    x = 189,444,583,048.70/428,083.45
  6. Step 6: Final answer
    x = 442,541.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.