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Finding the Fourth Proportional to 464,967.96, 641,677.04 and 258,237.16

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Solution

The fourth proportional to 464,967.96, 641,677.04 and 258,237.16 is: 356,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,967.96 : 641,677.04 = 258,237.16 : x
  2. Step 2: Convert to fraction form
    464,967.96/641,677.04 = 258,237.16/x
  3. Step 3: Cross multiply
    464,967.96x = 641,677.04 × 258,237.16
  4. Step 4: Simplify right side
    464,967.96x = 165,704,856,446.81
  5. Step 5: Solve for x
    x = 165,704,856,446.81/464,967.96
  6. Step 6: Final answer
    x = 356,379.09

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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.