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Finding the Fourth Proportional to 465,758.60, 642,814.96 and 261,826.32

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Solution

The fourth proportional to 465,758.60, 642,814.96 and 261,826.32 is: 361,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,758.60 : 642,814.96 = 261,826.32 : x
  2. Step 2: Convert to fraction form
    465,758.60/642,814.96 = 261,826.32/x
  3. Step 3: Cross multiply
    465,758.60x = 642,814.96 × 261,826.32
  4. Step 4: Simplify right side
    465,758.60x = 168,305,875,417.75
  5. Step 5: Solve for x
    x = 168,305,875,417.75/465,758.60
  6. Step 6: Final answer
    x = 361,358.60

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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.