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Finding the Fourth Proportional to 462,930.04, 694,450.55 and 163,348.71

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Solution

The fourth proportional to 462,930.04, 694,450.55 and 163,348.71 is: 245,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,930.04 : 694,450.55 = 163,348.71 : x
  2. Step 2: Convert to fraction form
    462,930.04/694,450.55 = 163,348.71/x
  3. Step 3: Cross multiply
    462,930.04x = 694,450.55 × 163,348.71
  4. Step 4: Simplify right side
    462,930.04x = 113,437,601,501.29
  5. Step 5: Solve for x
    x = 113,437,601,501.29/462,930.04
  6. Step 6: Final answer
    x = 245,042.65

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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.