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Finding the Fourth Proportional to 511,758.54, 706,216.08 and 282,336.78

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Solution

The fourth proportional to 511,758.54, 706,216.08 and 282,336.78 is: 389,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758.54 : 706,216.08 = 282,336.78 : x
  2. Step 2: Convert to fraction form
    511,758.54/706,216.08 = 282,336.78/x
  3. Step 3: Cross multiply
    511,758.54x = 706,216.08 × 282,336.78
  4. Step 4: Simplify right side
    511,758.54x = 199,390,774,011.42
  5. Step 5: Solve for x
    x = 199,390,774,011.42/511,758.54
  6. Step 6: Final answer
    x = 389,618.85

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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.