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Finding the Fourth Proportional to 511,696.48, 706,124.58 and 282,253.24

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Solution

The fourth proportional to 511,696.48, 706,124.58 and 282,253.24 is: 389,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,696.48 : 706,124.58 = 282,253.24 : x
  2. Step 2: Convert to fraction form
    511,696.48/706,124.58 = 282,253.24/x
  3. Step 3: Cross multiply
    511,696.48x = 706,124.58 × 282,253.24
  4. Step 4: Simplify right side
    511,696.48x = 199,305,950,548.64
  5. Step 5: Solve for x
    x = 199,305,950,548.64/511,696.48
  6. Step 6: Final answer
    x = 389,500.34

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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.