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Finding the Fourth Proportional to 511,885.26, 706,396.86 and 282,444.66

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Solution

The fourth proportional to 511,885.26, 706,396.86 and 282,444.66 is: 389,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,885.26 : 706,396.86 = 282,444.66 : x
  2. Step 2: Convert to fraction form
    511,885.26/706,396.86 = 282,444.66/x
  3. Step 3: Cross multiply
    511,885.26x = 706,396.86 × 282,444.66
  4. Step 4: Simplify right side
    511,885.26x = 199,518,020,947.77
  5. Step 5: Solve for x
    x = 199,518,020,947.77/511,885.26
  6. Step 6: Final answer
    x = 389,770.98

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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.