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Finding the Fourth Proportional to 829,668, 1,244,502 and 238,692

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Solution

The fourth proportional to 829,668, 1,244,502 and 238,692 is: 358,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,668 : 1,244,502 = 238,692 : x
  2. Step 2: Convert to fraction form
    829,668/1,244,502 = 238,692/x
  3. Step 3: Cross multiply
    829,668x = 1,244,502 × 238,692
  4. Step 4: Simplify right side
    829,668x = 297,052,671,384
  5. Step 5: Solve for x
    x = 297,052,671,384/829,668
  6. Step 6: Final answer
    x = 358,038

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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.