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Finding the Fourth Proportional to 462,889.72, 638,757.66 and 258,905.32

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Solution

The fourth proportional to 462,889.72, 638,757.66 and 258,905.32 is: 357,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,889.72 : 638,757.66 = 258,905.32 : x
  2. Step 2: Convert to fraction form
    462,889.72/638,757.66 = 258,905.32/x
  3. Step 3: Cross multiply
    462,889.72x = 638,757.66 × 258,905.32
  4. Step 4: Simplify right side
    462,889.72x = 165,377,756,364.75
  5. Step 5: Solve for x
    x = 165,377,756,364.75/462,889.72
  6. Step 6: Final answer
    x = 357,272.48

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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.