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Finding the Fourth Proportional to 468,523.84, 646,563.28 and 253,664.06

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Solution

The fourth proportional to 468,523.84, 646,563.28 and 253,664.06 is: 350,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,523.84 : 646,563.28 = 253,664.06 : x
  2. Step 2: Convert to fraction form
    468,523.84/646,563.28 = 253,664.06/x
  3. Step 3: Cross multiply
    468,523.84x = 646,563.28 × 253,664.06
  4. Step 4: Simplify right side
    468,523.84x = 164,009,866,651.72
  5. Step 5: Solve for x
    x = 164,009,866,651.72/468,523.84
  6. Step 6: Final answer
    x = 350,056.61

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Why These Related Problems?

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