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Finding the Fourth Proportional to 511,696.94, 706,108.47 and 282,240.41

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Solution

The fourth proportional to 511,696.94, 706,108.47 and 282,240.41 is: 389,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,696.94 : 706,108.47 = 282,240.41 : x
  2. Step 2: Convert to fraction form
    511,696.94/706,108.47 = 282,240.41/x
  3. Step 3: Cross multiply
    511,696.94x = 706,108.47 × 282,240.41
  4. Step 4: Simplify right side
    511,696.94x = 199,292,344,077.27
  5. Step 5: Solve for x
    x = 199,292,344,077.27/511,696.94
  6. Step 6: Final answer
    x = 389,473.39

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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.