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Finding the Fourth Proportional to 511,176.94, 705,424.20 and 296,441.54

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Solution

The fourth proportional to 511,176.94, 705,424.20 and 296,441.54 is: 409,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,176.94 : 705,424.20 = 296,441.54 : x
  2. Step 2: Convert to fraction form
    511,176.94/705,424.20 = 296,441.54/x
  3. Step 3: Cross multiply
    511,176.94x = 705,424.20 × 296,441.54
  4. Step 4: Simplify right side
    511,176.94x = 209,117,036,201.27
  5. Step 5: Solve for x
    x = 209,117,036,201.27/511,176.94
  6. Step 6: Final answer
    x = 409,089.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.