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Finding the Fourth Proportional to 456,325.16, 685,083.90 and 366,415.88

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Solution

The fourth proportional to 456,325.16, 685,083.90 and 366,415.88 is: 550,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,325.16 : 685,083.90 = 366,415.88 : x
  2. Step 2: Convert to fraction form
    456,325.16/685,083.90 = 366,415.88/x
  3. Step 3: Cross multiply
    456,325.16x = 685,083.90 × 366,415.88
  4. Step 4: Simplify right side
    456,325.16x = 251,025,620,092.33
  5. Step 5: Solve for x
    x = 251,025,620,092.33/456,325.16
  6. Step 6: Final answer
    x = 550,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.