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Finding the Fourth Proportional to 511,800.82, 706,056.75 and 296,816.29

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Solution

The fourth proportional to 511,800.82, 706,056.75 and 296,816.29 is: 409,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800.82 : 706,056.75 = 296,816.29 : x
  2. Step 2: Convert to fraction form
    511,800.82/706,056.75 = 296,816.29/x
  3. Step 3: Cross multiply
    511,800.82x = 706,056.75 × 296,816.29
  4. Step 4: Simplify right side
    511,800.82x = 209,569,143,299.32
  5. Step 5: Solve for x
    x = 209,569,143,299.32/511,800.82
  6. Step 6: Final answer
    x = 409,474.03

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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.