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Finding the Fourth Proportional to 462,938.29, 694,462.92 and 163,357

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Solution

The fourth proportional to 462,938.29, 694,462.92 and 163,357 is: 245,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,938.29 : 694,462.92 = 163,357 : x
  2. Step 2: Convert to fraction form
    462,938.29/694,462.92 = 163,357/x
  3. Step 3: Cross multiply
    462,938.29x = 694,462.92 × 163,357
  4. Step 4: Simplify right side
    462,938.29x = 113,445,379,222.44
  5. Step 5: Solve for x
    x = 113,445,379,222.44/462,938.29
  6. Step 6: Final answer
    x = 245,055.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.