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Finding the Fourth Proportional to 511,843.89, 706,347.02 and 282,401.16

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Solution

The fourth proportional to 511,843.89, 706,347.02 and 282,401.16 is: 389,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,843.89 : 706,347.02 = 282,401.16 : x
  2. Step 2: Convert to fraction form
    511,843.89/706,347.02 = 282,401.16/x
  3. Step 3: Cross multiply
    511,843.89x = 706,347.02 × 282,401.16
  4. Step 4: Simplify right side
    511,843.89x = 199,473,216,398.54
  5. Step 5: Solve for x
    x = 199,473,216,398.54/511,843.89
  6. Step 6: Final answer
    x = 389,714.95

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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.