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Finding the Fourth Proportional to 511,223.73, 705,491.55 and 296,491.11

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Solution

The fourth proportional to 511,223.73, 705,491.55 and 296,491.11 is: 409,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,223.73 : 705,491.55 = 296,491.11 : x
  2. Step 2: Convert to fraction form
    511,223.73/705,491.55 = 296,491.11/x
  3. Step 3: Cross multiply
    511,223.73x = 705,491.55 × 296,491.11
  4. Step 4: Simplify right side
    511,223.73x = 209,171,972,755.12
  5. Step 5: Solve for x
    x = 209,171,972,755.12/511,223.73
  6. Step 6: Final answer
    x = 409,159.36

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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.