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Finding the Fourth Proportional to 511,453.82, 705,844.70 and 296,592

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Solution

The fourth proportional to 511,453.82, 705,844.70 and 296,592 is: 409,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,453.82 : 705,844.70 = 296,592 : x
  2. Step 2: Convert to fraction form
    511,453.82/705,844.70 = 296,592/x
  3. Step 3: Cross multiply
    511,453.82x = 705,844.70 × 296,592
  4. Step 4: Simplify right side
    511,453.82x = 209,347,891,262.40
  5. Step 5: Solve for x
    x = 209,347,891,262.40/511,453.82
  6. Step 6: Final answer
    x = 409,319.24

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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.