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Finding the Fourth Proportional to 924,132, 1,275,306 and 500,196

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Solution

The fourth proportional to 924,132, 1,275,306 and 500,196 is: 690,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,132 : 1,275,306 = 500,196 : x
  2. Step 2: Convert to fraction form
    924,132/1,275,306 = 500,196/x
  3. Step 3: Cross multiply
    924,132x = 1,275,306 × 500,196
  4. Step 4: Simplify right side
    924,132x = 637,902,959,976
  5. Step 5: Solve for x
    x = 637,902,959,976/924,132
  6. Step 6: Final answer
    x = 690,272.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.