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Finding the Fourth Proportional to 511,799.33, 706,279.13 and 282,366.29

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Solution

The fourth proportional to 511,799.33, 706,279.13 and 282,366.29 is: 389,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,799.33 : 706,279.13 = 282,366.29 : x
  2. Step 2: Convert to fraction form
    511,799.33/706,279.13 = 282,366.29/x
  3. Step 3: Cross multiply
    511,799.33x = 706,279.13 × 282,366.29
  4. Step 4: Simplify right side
    511,799.33x = 199,429,416,582.75
  5. Step 5: Solve for x
    x = 199,429,416,582.75/511,799.33
  6. Step 6: Final answer
    x = 389,663.30

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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.