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Finding the Fourth Proportional to 511,182.71, 705,422.88 and 278,611.67

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Solution

The fourth proportional to 511,182.71, 705,422.88 and 278,611.67 is: 384,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,182.71 : 705,422.88 = 278,611.67 : x
  2. Step 2: Convert to fraction form
    511,182.71/705,422.88 = 278,611.67/x
  3. Step 3: Cross multiply
    511,182.71x = 705,422.88 × 278,611.67
  4. Step 4: Simplify right side
    511,182.71x = 196,539,043,125.90
  5. Step 5: Solve for x
    x = 196,539,043,125.90/511,182.71
  6. Step 6: Final answer
    x = 384,479.05

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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.