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Finding the Fourth Proportional to 456,142.67, 684,325.58 and 321,469.51

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Solution

The fourth proportional to 456,142.67, 684,325.58 and 321,469.51 is: 482,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,142.67 : 684,325.58 = 321,469.51 : x
  2. Step 2: Convert to fraction form
    456,142.67/684,325.58 = 321,469.51/x
  3. Step 3: Cross multiply
    456,142.67x = 684,325.58 × 321,469.51
  4. Step 4: Simplify right side
    456,142.67x = 219,989,808,883.07
  5. Step 5: Solve for x
    x = 219,989,808,883.07/456,142.67
  6. Step 6: Final answer
    x = 482,282.90

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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.