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Finding the Fourth Proportional to 471,664.92, 650,564.13 and 456,042.45

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Solution

The fourth proportional to 471,664.92, 650,564.13 and 456,042.45 is: 629,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,664.92 : 650,564.13 = 456,042.45 : x
  2. Step 2: Convert to fraction form
    471,664.92/650,564.13 = 456,042.45/x
  3. Step 3: Cross multiply
    471,664.92x = 650,564.13 × 456,042.45
  4. Step 4: Simplify right side
    471,664.92x = 296,684,859,727.32
  5. Step 5: Solve for x
    x = 296,684,859,727.32/471,664.92
  6. Step 6: Final answer
    x = 629,016.17

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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.