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Finding the Fourth Proportional to 511,369.84, 705,533.99 and 296,467.02

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Solution

The fourth proportional to 511,369.84, 705,533.99 and 296,467.02 is: 409,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,369.84 : 705,533.99 = 296,467.02 : x
  2. Step 2: Convert to fraction form
    511,369.84/705,533.99 = 296,467.02/x
  3. Step 3: Cross multiply
    511,369.84x = 705,533.99 × 296,467.02
  4. Step 4: Simplify right side
    511,369.84x = 209,167,555,255.17
  5. Step 5: Solve for x
    x = 209,167,555,255.17/511,369.84
  6. Step 6: Final answer
    x = 409,033.82

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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.