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Finding the Fourth Proportional to 526,810.82, 727,003.50 and 309,149.78

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Solution

The fourth proportional to 526,810.82, 727,003.50 and 309,149.78 is: 426,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,810.82 : 727,003.50 = 309,149.78 : x
  2. Step 2: Convert to fraction form
    526,810.82/727,003.50 = 309,149.78/x
  3. Step 3: Cross multiply
    526,810.82x = 727,003.50 × 309,149.78
  4. Step 4: Simplify right side
    526,810.82x = 224,752,972,084.23
  5. Step 5: Solve for x
    x = 224,752,972,084.23/526,810.82
  6. Step 6: Final answer
    x = 426,629.38

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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.