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Finding the Fourth Proportional to 462,933.29, 694,455.42 and 163,352

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Solution

The fourth proportional to 462,933.29, 694,455.42 and 163,352 is: 245,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,933.29 : 694,455.42 = 163,352 : x
  2. Step 2: Convert to fraction form
    462,933.29/694,455.42 = 163,352/x
  3. Step 3: Cross multiply
    462,933.29x = 694,455.42 × 163,352
  4. Step 4: Simplify right side
    462,933.29x = 113,440,681,767.84
  5. Step 5: Solve for x
    x = 113,440,681,767.84/462,933.29
  6. Step 6: Final answer
    x = 245,047.58

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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.