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Finding the Fourth Proportional to 511,812.10, 706,295.82 and 282,371.23

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Solution

The fourth proportional to 511,812.10, 706,295.82 and 282,371.23 is: 389,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,812.10 : 706,295.82 = 282,371.23 : x
  2. Step 2: Convert to fraction form
    511,812.10/706,295.82 = 282,371.23/x
  3. Step 3: Cross multiply
    511,812.10x = 706,295.82 × 282,371.23
  4. Step 4: Simplify right side
    511,812.10x = 199,437,614,493.92
  5. Step 5: Solve for x
    x = 199,437,614,493.92/511,812.10
  6. Step 6: Final answer
    x = 389,669.60

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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.