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Finding the Fourth Proportional to 511,765.47, 706,234.29 and 282,337.02

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Solution

The fourth proportional to 511,765.47, 706,234.29 and 282,337.02 is: 389,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,765.47 : 706,234.29 = 282,337.02 : x
  2. Step 2: Convert to fraction form
    511,765.47/706,234.29 = 282,337.02/x
  3. Step 3: Cross multiply
    511,765.47x = 706,234.29 × 282,337.02
  4. Step 4: Simplify right side
    511,765.47x = 199,396,084,860.42
  5. Step 5: Solve for x
    x = 199,396,084,860.42/511,765.47
  6. Step 6: Final answer
    x = 389,623.95

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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.