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Finding the Fourth Proportional to 692,304, 1,038,456 and 193,668

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Solution

The fourth proportional to 692,304, 1,038,456 and 193,668 is: 290,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,304 : 1,038,456 = 193,668 : x
  2. Step 2: Convert to fraction form
    692,304/1,038,456 = 193,668/x
  3. Step 3: Cross multiply
    692,304x = 1,038,456 × 193,668
  4. Step 4: Simplify right side
    692,304x = 201,115,696,608
  5. Step 5: Solve for x
    x = 201,115,696,608/692,304
  6. Step 6: Final answer
    x = 290,502

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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.