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Finding the Fourth Proportional to 413,664.87, 570,826.83 and 232,407

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Solution

The fourth proportional to 413,664.87, 570,826.83 and 232,407 is: 320,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,664.87 : 570,826.83 = 232,407 : x
  2. Step 2: Convert to fraction form
    413,664.87/570,826.83 = 232,407/x
  3. Step 3: Cross multiply
    413,664.87x = 570,826.83 × 232,407
  4. Step 4: Simplify right side
    413,664.87x = 132,664,151,079.81
  5. Step 5: Solve for x
    x = 132,664,151,079.81/413,664.87
  6. Step 6: Final answer
    x = 320,704.42

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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.