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Finding the Fourth Proportional to 456,652.33, 684,898.30 and 141,111.97

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Solution

The fourth proportional to 456,652.33, 684,898.30 and 141,111.97 is: 211,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,652.33 : 684,898.30 = 141,111.97 : x
  2. Step 2: Convert to fraction form
    456,652.33/684,898.30 = 141,111.97/x
  3. Step 3: Cross multiply
    456,652.33x = 684,898.30 × 141,111.97
  4. Step 4: Simplify right side
    456,652.33x = 96,647,346,826.80
  5. Step 5: Solve for x
    x = 96,647,346,826.80/456,652.33
  6. Step 6: Final answer
    x = 211,643.17

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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.