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Finding the Fourth Proportional to 309,833, 427,569.54 and 175,697

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Solution

The fourth proportional to 309,833, 427,569.54 and 175,697 is: 242,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,833 : 427,569.54 = 175,697 : x
  2. Step 2: Convert to fraction form
    309,833/427,569.54 = 175,697/x
  3. Step 3: Cross multiply
    309,833x = 427,569.54 × 175,697
  4. Step 4: Simplify right side
    309,833x = 75,122,685,469.38
  5. Step 5: Solve for x
    x = 75,122,685,469.38/309,833
  6. Step 6: Final answer
    x = 242,461.86

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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.