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Finding the Fourth Proportional to 462,769.29, 638,617.17 and 258,817.77

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Solution

The fourth proportional to 462,769.29, 638,617.17 and 258,817.77 is: 357,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,769.29 : 638,617.17 = 258,817.77 : x
  2. Step 2: Convert to fraction form
    462,769.29/638,617.17 = 258,817.77/x
  3. Step 3: Cross multiply
    462,769.29x = 638,617.17 × 258,817.77
  4. Step 4: Simplify right side
    462,769.29x = 165,285,470,529.02
  5. Step 5: Solve for x
    x = 165,285,470,529.02/462,769.29
  6. Step 6: Final answer
    x = 357,166.03

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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.