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Finding the Fourth Proportional to 511,373.82, 705,539.45 and 296,470.98

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Solution

The fourth proportional to 511,373.82, 705,539.45 and 296,470.98 is: 409,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,373.82 : 705,539.45 = 296,470.98 : x
  2. Step 2: Convert to fraction form
    511,373.82/705,539.45 = 296,470.98/x
  3. Step 3: Cross multiply
    511,373.82x = 705,539.45 × 296,470.98
  4. Step 4: Simplify right side
    511,373.82x = 209,171,967,160.11
  5. Step 5: Solve for x
    x = 209,171,967,160.11/511,373.82
  6. Step 6: Final answer
    x = 409,039.26

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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.