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Finding the Fourth Proportional to 511,179.94, 705,428.34 and 296,444.54

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Solution

The fourth proportional to 511,179.94, 705,428.34 and 296,444.54 is: 409,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,179.94 : 705,428.34 = 296,444.54 : x
  2. Step 2: Convert to fraction form
    511,179.94/705,428.34 = 296,444.54/x
  3. Step 3: Cross multiply
    511,179.94x = 705,428.34 × 296,444.54
  4. Step 4: Simplify right side
    511,179.94x = 209,120,379,754.26
  5. Step 5: Solve for x
    x = 209,120,379,754.26/511,179.94
  6. Step 6: Final answer
    x = 409,093.48

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1.5x scale

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.