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Finding the Fourth Proportional to 511,800.84, 706,281.20 and 282,367.79

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Solution

The fourth proportional to 511,800.84, 706,281.20 and 282,367.79 is: 389,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800.84 : 706,281.20 = 282,367.79 : x
  2. Step 2: Convert to fraction form
    511,800.84/706,281.20 = 282,367.79/x
  3. Step 3: Cross multiply
    511,800.84x = 706,281.20 × 282,367.79
  4. Step 4: Simplify right side
    511,800.84x = 199,431,061,562.55
  5. Step 5: Solve for x
    x = 199,431,061,562.55/511,800.84
  6. Step 6: Final answer
    x = 389,665.37

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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.